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Finding the Third Proportional to 240,912 and 381,780

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Solution

The third proportional to 240,912 and 381,780 is: 605,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,912 : 381,780 = 381,780 : x
  2. Step 2: Convert to fraction form
    240,912/381,780 = 381,780/x
  3. Step 3: Cross multiply
    240,912x = 381,780 × 381,780
  4. Step 4: Simplify right side
    240,912x = 145,755,968,400
  5. Step 5: Solve for x
    x = 145,755,968,400/240,912
  6. Step 6: Final answer
    x = 605,017.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.