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Finding the Third Proportional to 9,123.75 and 20,971.13

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Solution

The third proportional to 9,123.75 and 20,971.13 is: 48,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.75 : 20,971.13 = 20,971.13 : x
  2. Step 2: Convert to fraction form
    9,123.75/20,971.13 = 20,971.13/x
  3. Step 3: Cross multiply
    9,123.75x = 20,971.13 × 20,971.13
  4. Step 4: Simplify right side
    9,123.75x = 439,788,083.77
  5. Step 5: Solve for x
    x = 439,788,083.77/9,123.75
  6. Step 6: Final answer
    x = 48,202.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.