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Finding the Third Proportional to 138,459 and 301,218

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Solution

The third proportional to 138,459 and 301,218 is: 655,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,459 : 301,218 = 301,218 : x
  2. Step 2: Convert to fraction form
    138,459/301,218 = 301,218/x
  3. Step 3: Cross multiply
    138,459x = 301,218 × 301,218
  4. Step 4: Simplify right side
    138,459x = 90,732,283,524
  5. Step 5: Solve for x
    x = 90,732,283,524/138,459
  6. Step 6: Final answer
    x = 655,300.73

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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.