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Finding the Third Proportional to 278,748 and 374,544

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Solution

The third proportional to 278,748 and 374,544 is: 503,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,748 : 374,544 = 374,544 : x
  2. Step 2: Convert to fraction form
    278,748/374,544 = 374,544/x
  3. Step 3: Cross multiply
    278,748x = 374,544 × 374,544
  4. Step 4: Simplify right side
    278,748x = 140,283,207,936
  5. Step 5: Solve for x
    x = 140,283,207,936/278,748
  6. Step 6: Final answer
    x = 503,261.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.