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Finding the Third Proportional to 129,807.56 and 266,085

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Solution

The third proportional to 129,807.56 and 266,085 is: 545,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,807.56 : 266,085 = 266,085 : x
  2. Step 2: Convert to fraction form
    129,807.56/266,085 = 266,085/x
  3. Step 3: Cross multiply
    129,807.56x = 266,085 × 266,085
  4. Step 4: Simplify right side
    129,807.56x = 70,801,227,225
  5. Step 5: Solve for x
    x = 70,801,227,225/129,807.56
  6. Step 6: Final answer
    x = 545,432.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.