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Finding the Third Proportional to 258,088.78 and 391,507.17

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Solution

The third proportional to 258,088.78 and 391,507.17 is: 593,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,088.78 : 391,507.17 = 391,507.17 : x
  2. Step 2: Convert to fraction form
    258,088.78/391,507.17 = 391,507.17/x
  3. Step 3: Cross multiply
    258,088.78x = 391,507.17 × 391,507.17
  4. Step 4: Simplify right side
    258,088.78x = 153,277,865,629.56
  5. Step 5: Solve for x
    x = 153,277,865,629.56/258,088.78
  6. Step 6: Final answer
    x = 593,895.89

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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.