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Finding the Third Proportional to 861.26 and 1,864.90

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Solution

The third proportional to 861.26 and 1,864.90 is: 4,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.26 : 1,864.90 = 1,864.90 : x
  2. Step 2: Convert to fraction form
    861.26/1,864.90 = 1,864.90/x
  3. Step 3: Cross multiply
    861.26x = 1,864.90 × 1,864.90
  4. Step 4: Simplify right side
    861.26x = 3,477,846.18
  5. Step 5: Solve for x
    x = 3,477,846.18/861.26
  6. Step 6: Final answer
    x = 4,038.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.