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Finding the Third Proportional to 4,561.10 and 9,871.86

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Solution

The third proportional to 4,561.10 and 9,871.86 is: 21,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.10 : 9,871.86 = 9,871.86 : x
  2. Step 2: Convert to fraction form
    4,561.10/9,871.86 = 9,871.86/x
  3. Step 3: Cross multiply
    4,561.10x = 9,871.86 × 9,871.86
  4. Step 4: Simplify right side
    4,561.10x = 97,453,568.96
  5. Step 5: Solve for x
    x = 97,453,568.96/4,561.10
  6. Step 6: Final answer
    x = 21,366.24

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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.