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Finding the Third Proportional to 154,355 and 231,897

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Solution

The third proportional to 154,355 and 231,897 is: 348,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,355 : 231,897 = 231,897 : x
  2. Step 2: Convert to fraction form
    154,355/231,897 = 231,897/x
  3. Step 3: Cross multiply
    154,355x = 231,897 × 231,897
  4. Step 4: Simplify right side
    154,355x = 53,776,218,609
  5. Step 5: Solve for x
    x = 53,776,218,609/154,355
  6. Step 6: Final answer
    x = 348,393.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.