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Finding the Third Proportional to 316,324 and 691,016

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Solution

The third proportional to 316,324 and 691,016 is: 1,509,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,324 : 691,016 = 691,016 : x
  2. Step 2: Convert to fraction form
    316,324/691,016 = 691,016/x
  3. Step 3: Cross multiply
    316,324x = 691,016 × 691,016
  4. Step 4: Simplify right side
    316,324x = 477,503,112,256
  5. Step 5: Solve for x
    x = 477,503,112,256/316,324
  6. Step 6: Final answer
    x = 1,509,538.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.