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Finding the Third Proportional to 151,448 and 330,400

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Solution

The third proportional to 151,448 and 330,400 is: 720,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,448 : 330,400 = 330,400 : x
  2. Step 2: Convert to fraction form
    151,448/330,400 = 330,400/x
  3. Step 3: Cross multiply
    151,448x = 330,400 × 330,400
  4. Step 4: Simplify right side
    151,448x = 109,164,160,000
  5. Step 5: Solve for x
    x = 109,164,160,000/151,448
  6. Step 6: Final answer
    x = 720,802.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.