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Finding the Third Proportional to 247,634 and 371,455

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Solution

The third proportional to 247,634 and 371,455 is: 557,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,634 : 371,455 = 371,455 : x
  2. Step 2: Convert to fraction form
    247,634/371,455 = 371,455/x
  3. Step 3: Cross multiply
    247,634x = 371,455 × 371,455
  4. Step 4: Simplify right side
    247,634x = 137,978,817,025
  5. Step 5: Solve for x
    x = 137,978,817,025/247,634
  6. Step 6: Final answer
    x = 557,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.