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Finding the Third Proportional to 132,306.75 and 289,419.75

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Solution

The third proportional to 132,306.75 and 289,419.75 is: 633,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,306.75 : 289,419.75 = 289,419.75 : x
  2. Step 2: Convert to fraction form
    132,306.75/289,419.75 = 289,419.75/x
  3. Step 3: Cross multiply
    132,306.75x = 289,419.75 × 289,419.75
  4. Step 4: Simplify right side
    132,306.75x = 83,763,791,690.06
  5. Step 5: Solve for x
    x = 83,763,791,690.06/132,306.75
  6. Step 6: Final answer
    x = 633,102.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.