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Finding the Third Proportional to 977.48 and 2,165.91

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Solution

The third proportional to 977.48 and 2,165.91 is: 4,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.48 : 2,165.91 = 2,165.91 : x
  2. Step 2: Convert to fraction form
    977.48/2,165.91 = 2,165.91/x
  3. Step 3: Cross multiply
    977.48x = 2,165.91 × 2,165.91
  4. Step 4: Simplify right side
    977.48x = 4,691,149.88
  5. Step 5: Solve for x
    x = 4,691,149.88/977.48
  6. Step 6: Final answer
    x = 4,799.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.