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Finding the Third Proportional to 274,640 and 391,988

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Solution

The third proportional to 274,640 and 391,988 is: 559,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,640 : 391,988 = 391,988 : x
  2. Step 2: Convert to fraction form
    274,640/391,988 = 391,988/x
  3. Step 3: Cross multiply
    274,640x = 391,988 × 391,988
  4. Step 4: Simplify right side
    274,640x = 153,654,592,144
  5. Step 5: Solve for x
    x = 153,654,592,144/274,640
  6. Step 6: Final answer
    x = 559,476.38

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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.