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Finding the Third Proportional to 131,928.75 and 288,451.13

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Solution

The third proportional to 131,928.75 and 288,451.13 is: 630,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,928.75 : 288,451.13 = 288,451.13 : x
  2. Step 2: Convert to fraction form
    131,928.75/288,451.13 = 288,451.13/x
  3. Step 3: Cross multiply
    131,928.75x = 288,451.13 × 288,451.13
  4. Step 4: Simplify right side
    131,928.75x = 83,204,051,513.77
  5. Step 5: Solve for x
    x = 83,204,051,513.77/131,928.75
  6. Step 6: Final answer
    x = 630,674.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.