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Finding the Third Proportional to 153,918 and 330,867

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Solution

The third proportional to 153,918 and 330,867 is: 711,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,918 : 330,867 = 330,867 : x
  2. Step 2: Convert to fraction form
    153,918/330,867 = 330,867/x
  3. Step 3: Cross multiply
    153,918x = 330,867 × 330,867
  4. Step 4: Simplify right side
    153,918x = 109,472,971,689
  5. Step 5: Solve for x
    x = 109,472,971,689/153,918
  6. Step 6: Final answer
    x = 711,242.17

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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.