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Finding the Third Proportional to 124,272 and 261,792

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Solution

The third proportional to 124,272 and 261,792 is: 551,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,272 : 261,792 = 261,792 : x
  2. Step 2: Convert to fraction form
    124,272/261,792 = 261,792/x
  3. Step 3: Cross multiply
    124,272x = 261,792 × 261,792
  4. Step 4: Simplify right side
    124,272x = 68,535,051,264
  5. Step 5: Solve for x
    x = 68,535,051,264/124,272
  6. Step 6: Final answer
    x = 551,492.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.