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Finding the Third Proportional to 4,591 and 10,061.50

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Solution

The third proportional to 4,591 and 10,061.50 is: 22,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591 : 10,061.50 = 10,061.50 : x
  2. Step 2: Convert to fraction form
    4,591/10,061.50 = 10,061.50/x
  3. Step 3: Cross multiply
    4,591x = 10,061.50 × 10,061.50
  4. Step 4: Simplify right side
    4,591x = 101,233,782.25
  5. Step 5: Solve for x
    x = 101,233,782.25/4,591
  6. Step 6: Final answer
    x = 22,050.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.