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Finding the Third Proportional to 274,848 and 391,984

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Solution

The third proportional to 274,848 and 391,984 is: 559,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,848 : 391,984 = 391,984 : x
  2. Step 2: Convert to fraction form
    274,848/391,984 = 391,984/x
  3. Step 3: Cross multiply
    274,848x = 391,984 × 391,984
  4. Step 4: Simplify right side
    274,848x = 153,651,456,256
  5. Step 5: Solve for x
    x = 153,651,456,256/274,848
  6. Step 6: Final answer
    x = 559,041.57

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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.