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Finding the Third Proportional to 138,165.43 and 288,145.79

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Solution

The third proportional to 138,165.43 and 288,145.79 is: 600,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165.43 : 288,145.79 = 288,145.79 : x
  2. Step 2: Convert to fraction form
    138,165.43/288,145.79 = 288,145.79/x
  3. Step 3: Cross multiply
    138,165.43x = 288,145.79 × 288,145.79
  4. Step 4: Simplify right side
    138,165.43x = 83,027,998,005.59
  5. Step 5: Solve for x
    x = 83,027,998,005.59/138,165.43
  6. Step 6: Final answer
    x = 600,931.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.