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Finding the Third Proportional to 274,641 and 391,986

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Solution

The third proportional to 274,641 and 391,986 is: 559,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,641 : 391,986 = 391,986 : x
  2. Step 2: Convert to fraction form
    274,641/391,986 = 391,986/x
  3. Step 3: Cross multiply
    274,641x = 391,986 × 391,986
  4. Step 4: Simplify right side
    274,641x = 153,653,024,196
  5. Step 5: Solve for x
    x = 153,653,024,196/274,641
  6. Step 6: Final answer
    x = 559,468.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.