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Finding the Third Proportional to 331,189,790,876 and 720,407,460,280

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Solution

The third proportional to 331,189,790,876 and 720,407,460,280 is: 1,567,037,762,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,876 : 720,407,460,280 = 720,407,460,280 : x
  2. Step 2: Convert to fraction form
    331,189,790,876/720,407,460,280 = 720,407,460,280/x
  3. Step 3: Cross multiply
    331,189,790,876x = 720,407,460,280 × 720,407,460,280
  4. Step 4: Simplify right side
    331,189,790,876x = 518,986,908,827,079,789,248,512
  5. Step 5: Solve for x
    x = 518,986,908,827,079,789,248,512/331,189,790,876
  6. Step 6: Final answer
    x = 1,567,037,762,409.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.