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Finding the Third Proportional to 61,647.75 and 133,123.50

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Solution

The third proportional to 61,647.75 and 133,123.50 is: 287,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,647.75 : 133,123.50 = 133,123.50 : x
  2. Step 2: Convert to fraction form
    61,647.75/133,123.50 = 133,123.50/x
  3. Step 3: Cross multiply
    61,647.75x = 133,123.50 × 133,123.50
  4. Step 4: Simplify right side
    61,647.75x = 17,721,866,252.25
  5. Step 5: Solve for x
    x = 17,721,866,252.25/61,647.75
  6. Step 6: Final answer
    x = 287,469.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.