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Finding the Third Proportional to 66,099 and 102,429

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Solution

The third proportional to 66,099 and 102,429 is: 158,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,099 : 102,429 = 102,429 : x
  2. Step 2: Convert to fraction form
    66,099/102,429 = 102,429/x
  3. Step 3: Cross multiply
    66,099x = 102,429 × 102,429
  4. Step 4: Simplify right side
    66,099x = 10,491,700,041
  5. Step 5: Solve for x
    x = 10,491,700,041/66,099
  6. Step 6: Final answer
    x = 158,727.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.