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Finding the Third Proportional to 10,260.75 and 22,123.50

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Solution

The third proportional to 10,260.75 and 22,123.50 is: 47,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.75 : 22,123.50 = 22,123.50 : x
  2. Step 2: Convert to fraction form
    10,260.75/22,123.50 = 22,123.50/x
  3. Step 3: Cross multiply
    10,260.75x = 22,123.50 × 22,123.50
  4. Step 4: Simplify right side
    10,260.75x = 489,449,252.25
  5. Step 5: Solve for x
    x = 489,449,252.25/10,260.75
  6. Step 6: Final answer
    x = 47,701.12

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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.