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Finding the Third Proportional to 257,472 and 402,462

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Solution

The third proportional to 257,472 and 402,462 is: 629,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,472 : 402,462 = 402,462 : x
  2. Step 2: Convert to fraction form
    257,472/402,462 = 402,462/x
  3. Step 3: Cross multiply
    257,472x = 402,462 × 402,462
  4. Step 4: Simplify right side
    257,472x = 161,975,661,444
  5. Step 5: Solve for x
    x = 161,975,661,444/257,472
  6. Step 6: Final answer
    x = 629,100.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.