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Finding the Third Proportional to 460,765 and 721,245

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Solution

The third proportional to 460,765 and 721,245 is: 1,128,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,765 : 721,245 = 721,245 : x
  2. Step 2: Convert to fraction form
    460,765/721,245 = 721,245/x
  3. Step 3: Cross multiply
    460,765x = 721,245 × 721,245
  4. Step 4: Simplify right side
    460,765x = 520,194,350,025
  5. Step 5: Solve for x
    x = 520,194,350,025/460,765
  6. Step 6: Final answer
    x = 1,128,979.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.