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Finding the Third Proportional to 5,290.88 and 11,310.38

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Solution

The third proportional to 5,290.88 and 11,310.38 is: 24,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.88 : 11,310.38 = 11,310.38 : x
  2. Step 2: Convert to fraction form
    5,290.88/11,310.38 = 11,310.38/x
  3. Step 3: Cross multiply
    5,290.88x = 11,310.38 × 11,310.38
  4. Step 4: Simplify right side
    5,290.88x = 127,924,582.64
  5. Step 5: Solve for x
    x = 127,924,582.64/5,290.88
  6. Step 6: Final answer
    x = 24,178.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.