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Finding the Third Proportional to 42,520 and 66,210

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Solution

The third proportional to 42,520 and 66,210 is: 103,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,520 : 66,210 = 66,210 : x
  2. Step 2: Convert to fraction form
    42,520/66,210 = 66,210/x
  3. Step 3: Cross multiply
    42,520x = 66,210 × 66,210
  4. Step 4: Simplify right side
    42,520x = 4,383,764,100
  5. Step 5: Solve for x
    x = 4,383,764,100/42,520
  6. Step 6: Final answer
    x = 103,098.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.