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Finding the Third Proportional to 322,438 and 702,814

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Solution

The third proportional to 322,438 and 702,814 is: 1,531,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,438 : 702,814 = 702,814 : x
  2. Step 2: Convert to fraction form
    322,438/702,814 = 702,814/x
  3. Step 3: Cross multiply
    322,438x = 702,814 × 702,814
  4. Step 4: Simplify right side
    322,438x = 493,947,518,596
  5. Step 5: Solve for x
    x = 493,947,518,596/322,438
  6. Step 6: Final answer
    x = 1,531,914.72

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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.