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Finding the Third Proportional to 280,922 and 614,394

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Solution

The third proportional to 280,922 and 614,394 is: 1,343,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,922 : 614,394 = 614,394 : x
  2. Step 2: Convert to fraction form
    280,922/614,394 = 614,394/x
  3. Step 3: Cross multiply
    280,922x = 614,394 × 614,394
  4. Step 4: Simplify right side
    280,922x = 377,479,987,236
  5. Step 5: Solve for x
    x = 377,479,987,236/280,922
  6. Step 6: Final answer
    x = 1,343,718.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.