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Finding the Third Proportional to 138,763.13 and 298,575.56

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Solution

The third proportional to 138,763.13 and 298,575.56 is: 642,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,763.13 : 298,575.56 = 298,575.56 : x
  2. Step 2: Convert to fraction form
    138,763.13/298,575.56 = 298,575.56/x
  3. Step 3: Cross multiply
    138,763.13x = 298,575.56 × 298,575.56
  4. Step 4: Simplify right side
    138,763.13x = 89,147,366,522.19
  5. Step 5: Solve for x
    x = 89,147,366,522.19/138,763.13
  6. Step 6: Final answer
    x = 642,442.77

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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.