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Finding the Third Proportional to 81,211.50 and 195,646.50

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Solution

The third proportional to 81,211.50 and 195,646.50 is: 471,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,211.50 : 195,646.50 = 195,646.50 : x
  2. Step 2: Convert to fraction form
    81,211.50/195,646.50 = 195,646.50/x
  3. Step 3: Cross multiply
    81,211.50x = 195,646.50 × 195,646.50
  4. Step 4: Simplify right side
    81,211.50x = 38,277,552,962.25
  5. Step 5: Solve for x
    x = 38,277,552,962.25/81,211.50
  6. Step 6: Final answer
    x = 471,331.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.