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Finding the Third Proportional to 225,139 and 342,350

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Solution

The third proportional to 225,139 and 342,350 is: 520,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,139 : 342,350 = 342,350 : x
  2. Step 2: Convert to fraction form
    225,139/342,350 = 342,350/x
  3. Step 3: Cross multiply
    225,139x = 342,350 × 342,350
  4. Step 4: Simplify right side
    225,139x = 117,203,522,500
  5. Step 5: Solve for x
    x = 117,203,522,500/225,139
  6. Step 6: Final answer
    x = 520,582.94

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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.