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Finding the Third Proportional to 253,456.31 and 392,317.88

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Solution

The third proportional to 253,456.31 and 392,317.88 is: 607,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,456.31 : 392,317.88 = 392,317.88 : x
  2. Step 2: Convert to fraction form
    253,456.31/392,317.88 = 392,317.88/x
  3. Step 3: Cross multiply
    253,456.31x = 392,317.88 × 392,317.88
  4. Step 4: Simplify right side
    253,456.31x = 153,913,315,044.52
  5. Step 5: Solve for x
    x = 153,913,315,044.52/253,456.31
  6. Step 6: Final answer
    x = 607,257.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.