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Finding the Third Proportional to 62,700.75 and 135,000

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Solution

The third proportional to 62,700.75 and 135,000 is: 290,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,700.75 : 135,000 = 135,000 : x
  2. Step 2: Convert to fraction form
    62,700.75/135,000 = 135,000/x
  3. Step 3: Cross multiply
    62,700.75x = 135,000 × 135,000
  4. Step 4: Simplify right side
    62,700.75x = 18,225,000,000
  5. Step 5: Solve for x
    x = 18,225,000,000/62,700.75
  6. Step 6: Final answer
    x = 290,666.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.