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Finding the Third Proportional to 381,646.50 and 561,327.75

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Solution

The third proportional to 381,646.50 and 561,327.75 is: 825,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,646.50 : 561,327.75 = 561,327.75 : x
  2. Step 2: Convert to fraction form
    381,646.50/561,327.75 = 561,327.75/x
  3. Step 3: Cross multiply
    381,646.50x = 561,327.75 × 561,327.75
  4. Step 4: Simplify right side
    381,646.50x = 315,088,842,920.06
  5. Step 5: Solve for x
    x = 315,088,842,920.06/381,646.50
  6. Step 6: Final answer
    x = 825,603.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.