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Finding the Third Proportional to 61,612.31 and 126,138.94

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Solution

The third proportional to 61,612.31 and 126,138.94 is: 258,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,612.31 : 126,138.94 = 126,138.94 : x
  2. Step 2: Convert to fraction form
    61,612.31/126,138.94 = 126,138.94/x
  3. Step 3: Cross multiply
    61,612.31x = 126,138.94 × 126,138.94
  4. Step 4: Simplify right side
    61,612.31x = 15,911,031,553.63
  5. Step 5: Solve for x
    x = 15,911,031,553.63/61,612.31
  6. Step 6: Final answer
    x = 258,244.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.