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Finding the Third Proportional to 153,612 and 206,442

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Solution

The third proportional to 153,612 and 206,442 is: 277,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,612 : 206,442 = 206,442 : x
  2. Step 2: Convert to fraction form
    153,612/206,442 = 206,442/x
  3. Step 3: Cross multiply
    153,612x = 206,442 × 206,442
  4. Step 4: Simplify right side
    153,612x = 42,618,299,364
  5. Step 5: Solve for x
    x = 42,618,299,364/153,612
  6. Step 6: Final answer
    x = 277,441.21

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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.