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Finding the Third Proportional to 42,074 and 63,219

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Solution

The third proportional to 42,074 and 63,219 is: 94,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,074 : 63,219 = 63,219 : x
  2. Step 2: Convert to fraction form
    42,074/63,219 = 63,219/x
  3. Step 3: Cross multiply
    42,074x = 63,219 × 63,219
  4. Step 4: Simplify right side
    42,074x = 3,996,641,961
  5. Step 5: Solve for x
    x = 3,996,641,961/42,074
  6. Step 6: Final answer
    x = 94,990.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.