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Finding the Third Proportional to 10,590.75 and 11,912.06

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Solution

The third proportional to 10,590.75 and 11,912.06 is: 13,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.75 : 11,912.06 = 11,912.06 : x
  2. Step 2: Convert to fraction form
    10,590.75/11,912.06 = 11,912.06/x
  3. Step 3: Cross multiply
    10,590.75x = 11,912.06 × 11,912.06
  4. Step 4: Simplify right side
    10,590.75x = 141,897,233.00
  5. Step 5: Solve for x
    x = 141,897,233.00/10,590.75
  6. Step 6: Final answer
    x = 13,398.22

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.