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Finding the Third Proportional to 257,374 and 393,715

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Solution

The third proportional to 257,374 and 393,715 is: 602,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,374 : 393,715 = 393,715 : x
  2. Step 2: Convert to fraction form
    257,374/393,715 = 393,715/x
  3. Step 3: Cross multiply
    257,374x = 393,715 × 393,715
  4. Step 4: Simplify right side
    257,374x = 155,011,501,225
  5. Step 5: Solve for x
    x = 155,011,501,225/257,374
  6. Step 6: Final answer
    x = 602,281.12

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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.