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Finding the Third Proportional to 316,005 and 691,129

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Solution

The third proportional to 316,005 and 691,129 is: 1,511,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,005 : 691,129 = 691,129 : x
  2. Step 2: Convert to fraction form
    316,005/691,129 = 691,129/x
  3. Step 3: Cross multiply
    316,005x = 691,129 × 691,129
  4. Step 4: Simplify right side
    316,005x = 477,659,294,641
  5. Step 5: Solve for x
    x = 477,659,294,641/316,005
  6. Step 6: Final answer
    x = 1,511,556.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.