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Finding the Third Proportional to 258,754.50 and 392,799.38

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Solution

The third proportional to 258,754.50 and 392,799.38 is: 596,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,754.50 : 392,799.38 = 392,799.38 : x
  2. Step 2: Convert to fraction form
    258,754.50/392,799.38 = 392,799.38/x
  3. Step 3: Cross multiply
    258,754.50x = 392,799.38 × 392,799.38
  4. Step 4: Simplify right side
    258,754.50x = 154,291,349,000.39
  5. Step 5: Solve for x
    x = 154,291,349,000.39/258,754.50
  6. Step 6: Final answer
    x = 596,284.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.