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Finding the Third Proportional to 309,799.69 and 416,917.13

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Solution

The third proportional to 309,799.69 and 416,917.13 is: 561,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,799.69 : 416,917.13 = 416,917.13 : x
  2. Step 2: Convert to fraction form
    309,799.69/416,917.13 = 416,917.13/x
  3. Step 3: Cross multiply
    309,799.69x = 416,917.13 × 416,917.13
  4. Step 4: Simplify right side
    309,799.69x = 173,819,889,118.27
  5. Step 5: Solve for x
    x = 173,819,889,118.27/309,799.69
  6. Step 6: Final answer
    x = 561,071.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.