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Finding the Third Proportional to 272,558 and 411,294

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Solution

The third proportional to 272,558 and 411,294 is: 620,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,558 : 411,294 = 411,294 : x
  2. Step 2: Convert to fraction form
    272,558/411,294 = 411,294/x
  3. Step 3: Cross multiply
    272,558x = 411,294 × 411,294
  4. Step 4: Simplify right side
    272,558x = 169,162,754,436
  5. Step 5: Solve for x
    x = 169,162,754,436/272,558
  6. Step 6: Final answer
    x = 620,648.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.