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Finding the Third Proportional to 679,351 and 1,480,780

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Solution

The third proportional to 679,351 and 1,480,780 is: 3,227,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,351 : 1,480,780 = 1,480,780 : x
  2. Step 2: Convert to fraction form
    679,351/1,480,780 = 1,480,780/x
  3. Step 3: Cross multiply
    679,351x = 1,480,780 × 1,480,780
  4. Step 4: Simplify right side
    679,351x = 2,192,709,408,400
  5. Step 5: Solve for x
    x = 2,192,709,408,400/679,351
  6. Step 6: Final answer
    x = 3,227,653.17

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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.