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Finding the Third Proportional to 253,306.69 and 391,794.19

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Solution

The third proportional to 253,306.69 and 391,794.19 is: 605,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,306.69 : 391,794.19 = 391,794.19 : x
  2. Step 2: Convert to fraction form
    253,306.69/391,794.19 = 391,794.19/x
  3. Step 3: Cross multiply
    253,306.69x = 391,794.19 × 391,794.19
  4. Step 4: Simplify right side
    253,306.69x = 153,502,685,358.79
  5. Step 5: Solve for x
    x = 153,502,685,358.79/253,306.69
  6. Step 6: Final answer
    x = 605,995.39

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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.