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Finding the Third Proportional to 130,998.66 and 280,672.59

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Solution

The third proportional to 130,998.66 and 280,672.59 is: 601,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,998.66 : 280,672.59 = 280,672.59 : x
  2. Step 2: Convert to fraction form
    130,998.66/280,672.59 = 280,672.59/x
  3. Step 3: Cross multiply
    130,998.66x = 280,672.59 × 280,672.59
  4. Step 4: Simplify right side
    130,998.66x = 78,777,104,882.35
  5. Step 5: Solve for x
    x = 78,777,104,882.35/130,998.66
  6. Step 6: Final answer
    x = 601,358.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.