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Finding the Third Proportional to 225,142 and 342,355

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Solution

The third proportional to 225,142 and 342,355 is: 520,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,142 : 342,355 = 342,355 : x
  2. Step 2: Convert to fraction form
    225,142/342,355 = 342,355/x
  3. Step 3: Cross multiply
    225,142x = 342,355 × 342,355
  4. Step 4: Simplify right side
    225,142x = 117,206,946,025
  5. Step 5: Solve for x
    x = 117,206,946,025/225,142
  6. Step 6: Final answer
    x = 520,591.21

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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.