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Finding the Third Proportional to 316,132 and 691,278

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Solution

The third proportional to 316,132 and 691,278 is: 1,511,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,132 : 691,278 = 691,278 : x
  2. Step 2: Convert to fraction form
    316,132/691,278 = 691,278/x
  3. Step 3: Cross multiply
    316,132x = 691,278 × 691,278
  4. Step 4: Simplify right side
    316,132x = 477,865,273,284
  5. Step 5: Solve for x
    x = 477,865,273,284/316,132
  6. Step 6: Final answer
    x = 1,511,600.45

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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.