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Finding the Third Proportional to 316,025 and 691,172

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Solution

The third proportional to 316,025 and 691,172 is: 1,511,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,025 : 691,172 = 691,172 : x
  2. Step 2: Convert to fraction form
    316,025/691,172 = 691,172/x
  3. Step 3: Cross multiply
    316,025x = 691,172 × 691,172
  4. Step 4: Simplify right side
    316,025x = 477,718,733,584
  5. Step 5: Solve for x
    x = 477,718,733,584/316,025
  6. Step 6: Final answer
    x = 1,511,648.55

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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.