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Finding the Third Proportional to 6,489,609.75 and 9,906,036.75

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Solution

The third proportional to 6,489,609.75 and 9,906,036.75 is: 15,121,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,609.75 : 9,906,036.75 = 9,906,036.75 : x
  2. Step 2: Convert to fraction form
    6,489,609.75/9,906,036.75 = 9,906,036.75/x
  3. Step 3: Cross multiply
    6,489,609.75x = 9,906,036.75 × 9,906,036.75
  4. Step 4: Simplify right side
    6,489,609.75x = 98,129,564,092,350.56
  5. Step 5: Solve for x
    x = 98,129,564,092,350.56/6,489,609.75
  6. Step 6: Final answer
    x = 15,121,026.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.