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Finding the Third Proportional to 91,779 and 188,497.50

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Solution

The third proportional to 91,779 and 188,497.50 is: 387,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,779 : 188,497.50 = 188,497.50 : x
  2. Step 2: Convert to fraction form
    91,779/188,497.50 = 188,497.50/x
  3. Step 3: Cross multiply
    91,779x = 188,497.50 × 188,497.50
  4. Step 4: Simplify right side
    91,779x = 35,531,307,506.25
  5. Step 5: Solve for x
    x = 35,531,307,506.25/91,779
  6. Step 6: Final answer
    x = 387,139.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.