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Finding the Third Proportional to 418,800 and 930,480

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Solution

The third proportional to 418,800 and 930,480 is: 2,067,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,800 : 930,480 = 930,480 : x
  2. Step 2: Convert to fraction form
    418,800/930,480 = 930,480/x
  3. Step 3: Cross multiply
    418,800x = 930,480 × 930,480
  4. Step 4: Simplify right side
    418,800x = 865,793,030,400
  5. Step 5: Solve for x
    x = 865,793,030,400/418,800
  6. Step 6: Final answer
    x = 2,067,318.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.