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Finding the Third Proportional to 153,920 and 328,252

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Solution

The third proportional to 153,920 and 328,252 is: 700,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,920 : 328,252 = 328,252 : x
  2. Step 2: Convert to fraction form
    153,920/328,252 = 328,252/x
  3. Step 3: Cross multiply
    153,920x = 328,252 × 328,252
  4. Step 4: Simplify right side
    153,920x = 107,749,375,504
  5. Step 5: Solve for x
    x = 107,749,375,504/153,920
  6. Step 6: Final answer
    x = 700,034.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.