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Finding the Third Proportional to 247,742 and 379,602

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Solution

The third proportional to 247,742 and 379,602 is: 581,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,742 : 379,602 = 379,602 : x
  2. Step 2: Convert to fraction form
    247,742/379,602 = 379,602/x
  3. Step 3: Cross multiply
    247,742x = 379,602 × 379,602
  4. Step 4: Simplify right side
    247,742x = 144,097,678,404
  5. Step 5: Solve for x
    x = 144,097,678,404/247,742
  6. Step 6: Final answer
    x = 581,644.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.