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Finding the Third Proportional to 138,202 and 300,987

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Solution

The third proportional to 138,202 and 300,987 is: 655,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,202 : 300,987 = 300,987 : x
  2. Step 2: Convert to fraction form
    138,202/300,987 = 300,987/x
  3. Step 3: Cross multiply
    138,202x = 300,987 × 300,987
  4. Step 4: Simplify right side
    138,202x = 90,593,174,169
  5. Step 5: Solve for x
    x = 90,593,174,169/138,202
  6. Step 6: Final answer
    x = 655,512.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.