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Finding the Third Proportional to 147,987 and 326,142

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Solution

The third proportional to 147,987 and 326,142 is: 718,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,987 : 326,142 = 326,142 : x
  2. Step 2: Convert to fraction form
    147,987/326,142 = 326,142/x
  3. Step 3: Cross multiply
    147,987x = 326,142 × 326,142
  4. Step 4: Simplify right side
    147,987x = 106,368,604,164
  5. Step 5: Solve for x
    x = 106,368,604,164/147,987
  6. Step 6: Final answer
    x = 718,769.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.