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Finding the Third Proportional to 138,472 and 301,243

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Solution

The third proportional to 138,472 and 301,243 is: 655,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,472 : 301,243 = 301,243 : x
  2. Step 2: Convert to fraction form
    138,472/301,243 = 301,243/x
  3. Step 3: Cross multiply
    138,472x = 301,243 × 301,243
  4. Step 4: Simplify right side
    138,472x = 90,747,345,049
  5. Step 5: Solve for x
    x = 90,747,345,049/138,472
  6. Step 6: Final answer
    x = 655,347.98

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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.