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Finding the Third Proportional to 149,320 and 322,394

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Solution

The third proportional to 149,320 and 322,394 is: 696,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,320 : 322,394 = 322,394 : x
  2. Step 2: Convert to fraction form
    149,320/322,394 = 322,394/x
  3. Step 3: Cross multiply
    149,320x = 322,394 × 322,394
  4. Step 4: Simplify right side
    149,320x = 103,937,891,236
  5. Step 5: Solve for x
    x = 103,937,891,236/149,320
  6. Step 6: Final answer
    x = 696,074.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.