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Finding the Third Proportional to 331,189,790,875 and 720,407,460,278

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Solution

The third proportional to 331,189,790,875 and 720,407,460,278 is: 1,567,037,762,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,875 : 720,407,460,278 = 720,407,460,278 : x
  2. Step 2: Convert to fraction form
    331,189,790,875/720,407,460,278 = 720,407,460,278/x
  3. Step 3: Cross multiply
    331,189,790,875x = 720,407,460,278 × 720,407,460,278
  4. Step 4: Simplify right side
    331,189,790,875x = 518,986,908,824,198,134,628,352
  5. Step 5: Solve for x
    x = 518,986,908,824,198,134,628,352/331,189,790,875
  6. Step 6: Final answer
    x = 1,567,037,762,405.18

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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.