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Finding the Third Proportional to 768,644 and 1,221,394

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Solution

The third proportional to 768,644 and 1,221,394 is: 1,940,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,644 : 1,221,394 = 1,221,394 : x
  2. Step 2: Convert to fraction form
    768,644/1,221,394 = 1,221,394/x
  3. Step 3: Cross multiply
    768,644x = 1,221,394 × 1,221,394
  4. Step 4: Simplify right side
    768,644x = 1,491,803,303,236
  5. Step 5: Solve for x
    x = 1,491,803,303,236/768,644
  6. Step 6: Final answer
    x = 1,940,824.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.