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Finding the Third Proportional to 321,159 and 699,514

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Solution

The third proportional to 321,159 and 699,514 is: 1,523,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,159 : 699,514 = 699,514 : x
  2. Step 2: Convert to fraction form
    321,159/699,514 = 699,514/x
  3. Step 3: Cross multiply
    321,159x = 699,514 × 699,514
  4. Step 4: Simplify right side
    321,159x = 489,319,836,196
  5. Step 5: Solve for x
    x = 489,319,836,196/321,159
  6. Step 6: Final answer
    x = 1,523,606.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.