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Finding the Third Proportional to 291,277.13 and 393,535.13

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Solution

The third proportional to 291,277.13 and 393,535.13 is: 531,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,277.13 : 393,535.13 = 393,535.13 : x
  2. Step 2: Convert to fraction form
    291,277.13/393,535.13 = 393,535.13/x
  3. Step 3: Cross multiply
    291,277.13x = 393,535.13 × 393,535.13
  4. Step 4: Simplify right side
    291,277.13x = 154,869,894,608.77
  5. Step 5: Solve for x
    x = 154,869,894,608.77/291,277.13
  6. Step 6: Final answer
    x = 531,692.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.