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Finding the Third Proportional to 75,657 and 109,921.50

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Solution

The third proportional to 75,657 and 109,921.50 is: 159,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657 : 109,921.50 = 109,921.50 : x
  2. Step 2: Convert to fraction form
    75,657/109,921.50 = 109,921.50/x
  3. Step 3: Cross multiply
    75,657x = 109,921.50 × 109,921.50
  4. Step 4: Simplify right side
    75,657x = 12,082,736,162.25
  5. Step 5: Solve for x
    x = 12,082,736,162.25/75,657
  6. Step 6: Final answer
    x = 159,704.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.