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Finding the Third Proportional to 130,909.50 and 279,315

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Solution

The third proportional to 130,909.50 and 279,315 is: 595,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,909.50 : 279,315 = 279,315 : x
  2. Step 2: Convert to fraction form
    130,909.50/279,315 = 279,315/x
  3. Step 3: Cross multiply
    130,909.50x = 279,315 × 279,315
  4. Step 4: Simplify right side
    130,909.50x = 78,016,869,225
  5. Step 5: Solve for x
    x = 78,016,869,225/130,909.50
  6. Step 6: Final answer
    x = 595,960.33

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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.