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Finding the Third Proportional to 138,918 and 298,545

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Solution

The third proportional to 138,918 and 298,545 is: 641,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,918 : 298,545 = 298,545 : x
  2. Step 2: Convert to fraction form
    138,918/298,545 = 298,545/x
  3. Step 3: Cross multiply
    138,918x = 298,545 × 298,545
  4. Step 4: Simplify right side
    138,918x = 89,129,117,025
  5. Step 5: Solve for x
    x = 89,129,117,025/138,918
  6. Step 6: Final answer
    x = 641,595.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.