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Finding the Third Proportional to 225,143 and 342,356

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Solution

The third proportional to 225,143 and 342,356 is: 520,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,143 : 342,356 = 342,356 : x
  2. Step 2: Convert to fraction form
    225,143/342,356 = 342,356/x
  3. Step 3: Cross multiply
    225,143x = 342,356 × 342,356
  4. Step 4: Simplify right side
    225,143x = 117,207,630,736
  5. Step 5: Solve for x
    x = 117,207,630,736/225,143
  6. Step 6: Final answer
    x = 520,591.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.