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Finding the Third Proportional to 247,740 and 393,715

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Solution

The third proportional to 247,740 and 393,715 is: 625,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,740 : 393,715 = 393,715 : x
  2. Step 2: Convert to fraction form
    247,740/393,715 = 393,715/x
  3. Step 3: Cross multiply
    247,740x = 393,715 × 393,715
  4. Step 4: Simplify right side
    247,740x = 155,011,501,225
  5. Step 5: Solve for x
    x = 155,011,501,225/247,740
  6. Step 6: Final answer
    x = 625,702.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.