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Finding the Third Proportional to 42,324 and 87,208

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Solution

The third proportional to 42,324 and 87,208 is: 179,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,324 : 87,208 = 87,208 : x
  2. Step 2: Convert to fraction form
    42,324/87,208 = 87,208/x
  3. Step 3: Cross multiply
    42,324x = 87,208 × 87,208
  4. Step 4: Simplify right side
    42,324x = 7,605,235,264
  5. Step 5: Solve for x
    x = 7,605,235,264/42,324
  6. Step 6: Final answer
    x = 179,690.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.