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Finding the Third Proportional to 138,471 and 301,242

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Solution

The third proportional to 138,471 and 301,242 is: 655,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471 : 301,242 = 301,242 : x
  2. Step 2: Convert to fraction form
    138,471/301,242 = 301,242/x
  3. Step 3: Cross multiply
    138,471x = 301,242 × 301,242
  4. Step 4: Simplify right side
    138,471x = 90,746,742,564
  5. Step 5: Solve for x
    x = 90,746,742,564/138,471
  6. Step 6: Final answer
    x = 655,348.36

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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.