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Finding the Third Proportional to 228,474 and 357,291

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Solution

The third proportional to 228,474 and 357,291 is: 558,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,474 : 357,291 = 357,291 : x
  2. Step 2: Convert to fraction form
    228,474/357,291 = 357,291/x
  3. Step 3: Cross multiply
    228,474x = 357,291 × 357,291
  4. Step 4: Simplify right side
    228,474x = 127,656,858,681
  5. Step 5: Solve for x
    x = 127,656,858,681/228,474
  6. Step 6: Final answer
    x = 558,736.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.