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Finding the Third Proportional to 478,960 and 751,344

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Solution

The third proportional to 478,960 and 751,344 is: 1,178,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,960 : 751,344 = 751,344 : x
  2. Step 2: Convert to fraction form
    478,960/751,344 = 751,344/x
  3. Step 3: Cross multiply
    478,960x = 751,344 × 751,344
  4. Step 4: Simplify right side
    478,960x = 564,517,806,336
  5. Step 5: Solve for x
    x = 564,517,806,336/478,960
  6. Step 6: Final answer
    x = 1,178,632.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.