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Finding the Third Proportional to 322,409 and 700,789

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Solution

The third proportional to 322,409 and 700,789 is: 1,523,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,409 : 700,789 = 700,789 : x
  2. Step 2: Convert to fraction form
    322,409/700,789 = 700,789/x
  3. Step 3: Cross multiply
    322,409x = 700,789 × 700,789
  4. Step 4: Simplify right side
    322,409x = 491,105,222,521
  5. Step 5: Solve for x
    x = 491,105,222,521/322,409
  6. Step 6: Final answer
    x = 1,523,236.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.