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Finding the Third Proportional to 169,279 and 364,389

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Solution

The third proportional to 169,279 and 364,389 is: 784,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,279 : 364,389 = 364,389 : x
  2. Step 2: Convert to fraction form
    169,279/364,389 = 364,389/x
  3. Step 3: Cross multiply
    169,279x = 364,389 × 364,389
  4. Step 4: Simplify right side
    169,279x = 132,779,343,321
  5. Step 5: Solve for x
    x = 132,779,343,321/169,279
  6. Step 6: Final answer
    x = 784,381.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.