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Finding the Third Proportional to 120,073.50 and 277,949.25

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Solution

The third proportional to 120,073.50 and 277,949.25 is: 643,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,073.50 : 277,949.25 = 277,949.25 : x
  2. Step 2: Convert to fraction form
    120,073.50/277,949.25 = 277,949.25/x
  3. Step 3: Cross multiply
    120,073.50x = 277,949.25 × 277,949.25
  4. Step 4: Simplify right side
    120,073.50x = 77,255,785,575.56
  5. Step 5: Solve for x
    x = 77,255,785,575.56/120,073.50
  6. Step 6: Final answer
    x = 643,404.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.