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Finding the Third Proportional to 257,372 and 393,712

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Solution

The third proportional to 257,372 and 393,712 is: 602,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,372 : 393,712 = 393,712 : x
  2. Step 2: Convert to fraction form
    257,372/393,712 = 393,712/x
  3. Step 3: Cross multiply
    257,372x = 393,712 × 393,712
  4. Step 4: Simplify right side
    257,372x = 155,009,138,944
  5. Step 5: Solve for x
    x = 155,009,138,944/257,372
  6. Step 6: Final answer
    x = 602,276.62

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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.