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Finding the Third Proportional to 147,782 and 316,568

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Solution

The third proportional to 147,782 and 316,568 is: 678,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782 : 316,568 = 316,568 : x
  2. Step 2: Convert to fraction form
    147,782/316,568 = 316,568/x
  3. Step 3: Cross multiply
    147,782x = 316,568 × 316,568
  4. Step 4: Simplify right side
    147,782x = 100,215,298,624
  5. Step 5: Solve for x
    x = 100,215,298,624/147,782
  6. Step 6: Final answer
    x = 678,129.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.