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Finding the Third Proportional to 130,966.88 and 279,105.75

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Solution

The third proportional to 130,966.88 and 279,105.75 is: 594,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,966.88 : 279,105.75 = 279,105.75 : x
  2. Step 2: Convert to fraction form
    130,966.88/279,105.75 = 279,105.75/x
  3. Step 3: Cross multiply
    130,966.88x = 279,105.75 × 279,105.75
  4. Step 4: Simplify right side
    130,966.88x = 77,900,019,683.06
  5. Step 5: Solve for x
    x = 77,900,019,683.06/130,966.88
  6. Step 6: Final answer
    x = 594,807.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.