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Finding the Third Proportional to 678,720 and 1,462,344

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Solution

The third proportional to 678,720 and 1,462,344 is: 3,150,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,720 : 1,462,344 = 1,462,344 : x
  2. Step 2: Convert to fraction form
    678,720/1,462,344 = 1,462,344/x
  3. Step 3: Cross multiply
    678,720x = 1,462,344 × 1,462,344
  4. Step 4: Simplify right side
    678,720x = 2,138,449,974,336
  5. Step 5: Solve for x
    x = 2,138,449,974,336/678,720
  6. Step 6: Final answer
    x = 3,150,710.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.