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Finding the Third Proportional to 257,712 and 382,177.50

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Solution

The third proportional to 257,712 and 382,177.50 is: 566,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,712 : 382,177.50 = 382,177.50 : x
  2. Step 2: Convert to fraction form
    257,712/382,177.50 = 382,177.50/x
  3. Step 3: Cross multiply
    257,712x = 382,177.50 × 382,177.50
  4. Step 4: Simplify right side
    257,712x = 146,059,641,506.25
  5. Step 5: Solve for x
    x = 146,059,641,506.25/257,712
  6. Step 6: Final answer
    x = 566,755.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.