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Finding the Third Proportional to 274,347 and 391,564.13

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Solution

The third proportional to 274,347 and 391,564.13 is: 558,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347 : 391,564.13 = 391,564.13 : x
  2. Step 2: Convert to fraction form
    274,347/391,564.13 = 391,564.13/x
  3. Step 3: Cross multiply
    274,347x = 391,564.13 × 391,564.13
  4. Step 4: Simplify right side
    274,347x = 153,322,463,987.02
  5. Step 5: Solve for x
    x = 153,322,463,987.02/274,347
  6. Step 6: Final answer
    x = 558,863.28

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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.