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Finding the Third Proportional to 257,142 and 385,462

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Solution

The third proportional to 257,142 and 385,462 is: 577,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,142 : 385,462 = 385,462 : x
  2. Step 2: Convert to fraction form
    257,142/385,462 = 385,462/x
  3. Step 3: Cross multiply
    257,142x = 385,462 × 385,462
  4. Step 4: Simplify right side
    257,142x = 148,580,953,444
  5. Step 5: Solve for x
    x = 148,580,953,444/257,142
  6. Step 6: Final answer
    x = 577,816.75

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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.