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Finding the Third Proportional to 352,220 and 686,792

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Solution

The third proportional to 352,220 and 686,792 is: 1,339,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,220 : 686,792 = 686,792 : x
  2. Step 2: Convert to fraction form
    352,220/686,792 = 686,792/x
  3. Step 3: Cross multiply
    352,220x = 686,792 × 686,792
  4. Step 4: Simplify right side
    352,220x = 471,683,251,264
  5. Step 5: Solve for x
    x = 471,683,251,264/352,220
  6. Step 6: Final answer
    x = 1,339,172.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.