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Finding the Third Proportional to 253,198.13 and 391,927.50

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Solution

The third proportional to 253,198.13 and 391,927.50 is: 606,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,198.13 : 391,927.50 = 391,927.50 : x
  2. Step 2: Convert to fraction form
    253,198.13/391,927.50 = 391,927.50/x
  3. Step 3: Cross multiply
    253,198.13x = 391,927.50 × 391,927.50
  4. Step 4: Simplify right side
    253,198.13x = 153,607,165,256.25
  5. Step 5: Solve for x
    x = 153,607,165,256.25/253,198.13
  6. Step 6: Final answer
    x = 606,667.86

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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.