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Finding the Third Proportional to 138,555 and 298,730

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Solution

The third proportional to 138,555 and 298,730 is: 644,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,555 : 298,730 = 298,730 : x
  2. Step 2: Convert to fraction form
    138,555/298,730 = 298,730/x
  3. Step 3: Cross multiply
    138,555x = 298,730 × 298,730
  4. Step 4: Simplify right side
    138,555x = 89,239,612,900
  5. Step 5: Solve for x
    x = 89,239,612,900/138,555
  6. Step 6: Final answer
    x = 644,073.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.