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Finding the Third Proportional to 130,339.13 and 191,279.81

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Solution

The third proportional to 130,339.13 and 191,279.81 is: 280,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,339.13 : 191,279.81 = 191,279.81 : x
  2. Step 2: Convert to fraction form
    130,339.13/191,279.81 = 191,279.81/x
  3. Step 3: Cross multiply
    130,339.13x = 191,279.81 × 191,279.81
  4. Step 4: Simplify right side
    130,339.13x = 36,587,966,670.04
  5. Step 5: Solve for x
    x = 36,587,966,670.04/130,339.13
  6. Step 6: Final answer
    x = 280,713.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.