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Finding the Third Proportional to 356,842.50 and 521,862.75

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Solution

The third proportional to 356,842.50 and 521,862.75 is: 763,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,842.50 : 521,862.75 = 521,862.75 : x
  2. Step 2: Convert to fraction form
    356,842.50/521,862.75 = 521,862.75/x
  3. Step 3: Cross multiply
    356,842.50x = 521,862.75 × 521,862.75
  4. Step 4: Simplify right side
    356,842.50x = 272,340,729,837.56
  5. Step 5: Solve for x
    x = 272,340,729,837.56/356,842.50
  6. Step 6: Final answer
    x = 763,195.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.