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Finding the Third Proportional to 316,125 and 691,263

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Solution

The third proportional to 316,125 and 691,263 is: 1,511,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,125 : 691,263 = 691,263 : x
  2. Step 2: Convert to fraction form
    316,125/691,263 = 691,263/x
  3. Step 3: Cross multiply
    316,125x = 691,263 × 691,263
  4. Step 4: Simplify right side
    316,125x = 477,844,535,169
  5. Step 5: Solve for x
    x = 477,844,535,169/316,125
  6. Step 6: Final answer
    x = 1,511,568.32

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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.