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Finding the Third Proportional to 153,976 and 330,868

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Solution

The third proportional to 153,976 and 330,868 is: 710,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,976 : 330,868 = 330,868 : x
  2. Step 2: Convert to fraction form
    153,976/330,868 = 330,868/x
  3. Step 3: Cross multiply
    153,976x = 330,868 × 330,868
  4. Step 4: Simplify right side
    153,976x = 109,473,633,424
  5. Step 5: Solve for x
    x = 109,473,633,424/153,976
  6. Step 6: Final answer
    x = 710,978.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.