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Finding the Third Proportional to 338,719.50 and 731,439

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Solution

The third proportional to 338,719.50 and 731,439 is: 1,579,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,719.50 : 731,439 = 731,439 : x
  2. Step 2: Convert to fraction form
    338,719.50/731,439 = 731,439/x
  3. Step 3: Cross multiply
    338,719.50x = 731,439 × 731,439
  4. Step 4: Simplify right side
    338,719.50x = 535,003,010,721
  5. Step 5: Solve for x
    x = 535,003,010,721/338,719.50
  6. Step 6: Final answer
    x = 1,579,486.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.