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Finding the Third Proportional to 901.55 and 2,139.96

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Solution

The third proportional to 901.55 and 2,139.96 is: 5,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.55 : 2,139.96 = 2,139.96 : x
  2. Step 2: Convert to fraction form
    901.55/2,139.96 = 2,139.96/x
  3. Step 3: Cross multiply
    901.55x = 2,139.96 × 2,139.96
  4. Step 4: Simplify right side
    901.55x = 4,579,432.81
  5. Step 5: Solve for x
    x = 4,579,432.81/901.55
  6. Step 6: Final answer
    x = 5,079.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.