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Finding the Third Proportional to 768,642 and 1,221,391

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Solution

The third proportional to 768,642 and 1,221,391 is: 1,940,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,642 : 1,221,391 = 1,221,391 : x
  2. Step 2: Convert to fraction form
    768,642/1,221,391 = 1,221,391/x
  3. Step 3: Cross multiply
    768,642x = 1,221,391 × 1,221,391
  4. Step 4: Simplify right side
    768,642x = 1,491,795,974,881
  5. Step 5: Solve for x
    x = 1,491,795,974,881/768,642
  6. Step 6: Final answer
    x = 1,940,820.27

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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.