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Finding the Third Proportional to 130,987.13 and 197,128.69

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Solution

The third proportional to 130,987.13 and 197,128.69 is: 296,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,987.13 : 197,128.69 = 197,128.69 : x
  2. Step 2: Convert to fraction form
    130,987.13/197,128.69 = 197,128.69/x
  3. Step 3: Cross multiply
    130,987.13x = 197,128.69 × 197,128.69
  4. Step 4: Simplify right side
    130,987.13x = 38,859,719,435.47
  5. Step 5: Solve for x
    x = 38,859,719,435.47/130,987.13
  6. Step 6: Final answer
    x = 296,668.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.