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Finding the Third Proportional to 68,590.50 and 91,035

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Solution

The third proportional to 68,590.50 and 91,035 is: 120,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,590.50 : 91,035 = 91,035 : x
  2. Step 2: Convert to fraction form
    68,590.50/91,035 = 91,035/x
  3. Step 3: Cross multiply
    68,590.50x = 91,035 × 91,035
  4. Step 4: Simplify right side
    68,590.50x = 8,287,371,225
  5. Step 5: Solve for x
    x = 8,287,371,225/68,590.50
  6. Step 6: Final answer
    x = 120,823.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.