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Finding the Third Proportional to 257,130.38 and 392,221.88

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Solution

The third proportional to 257,130.38 and 392,221.88 is: 598,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,130.38 : 392,221.88 = 392,221.88 : x
  2. Step 2: Convert to fraction form
    257,130.38/392,221.88 = 392,221.88/x
  3. Step 3: Cross multiply
    257,130.38x = 392,221.88 × 392,221.88
  4. Step 4: Simplify right side
    257,130.38x = 153,837,999,228.52
  5. Step 5: Solve for x
    x = 153,837,999,228.52/257,130.38
  6. Step 6: Final answer
    x = 598,287.93

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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.