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Finding the Third Proportional to 357,440 and 769,792

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Solution

The third proportional to 357,440 and 769,792 is: 1,657,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,440 : 769,792 = 769,792 : x
  2. Step 2: Convert to fraction form
    357,440/769,792 = 769,792/x
  3. Step 3: Cross multiply
    357,440x = 769,792 × 769,792
  4. Step 4: Simplify right side
    357,440x = 592,579,723,264
  5. Step 5: Solve for x
    x = 592,579,723,264/357,440
  6. Step 6: Final answer
    x = 1,657,843.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.