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Finding the Third Proportional to 253,458.50 and 392,320

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Solution

The third proportional to 253,458.50 and 392,320 is: 607,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,458.50 : 392,320 = 392,320 : x
  2. Step 2: Convert to fraction form
    253,458.50/392,320 = 392,320/x
  3. Step 3: Cross multiply
    253,458.50x = 392,320 × 392,320
  4. Step 4: Simplify right side
    253,458.50x = 153,914,982,400
  5. Step 5: Solve for x
    x = 153,914,982,400/253,458.50
  6. Step 6: Final answer
    x = 607,259.11

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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.