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Finding the Third Proportional to 153,414 and 244,215

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Solution

The third proportional to 153,414 and 244,215 is: 388,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414 : 244,215 = 244,215 : x
  2. Step 2: Convert to fraction form
    153,414/244,215 = 244,215/x
  3. Step 3: Cross multiply
    153,414x = 244,215 × 244,215
  4. Step 4: Simplify right side
    153,414x = 59,640,966,225
  5. Step 5: Solve for x
    x = 59,640,966,225/153,414
  6. Step 6: Final answer
    x = 388,758.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.