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Finding the Third Proportional to 75,123 and 153,029.25

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Solution

The third proportional to 75,123 and 153,029.25 is: 311,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,123 : 153,029.25 = 153,029.25 : x
  2. Step 2: Convert to fraction form
    75,123/153,029.25 = 153,029.25/x
  3. Step 3: Cross multiply
    75,123x = 153,029.25 × 153,029.25
  4. Step 4: Simplify right side
    75,123x = 23,417,951,355.56
  5. Step 5: Solve for x
    x = 23,417,951,355.56/75,123
  6. Step 6: Final answer
    x = 311,728.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.