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Finding the Third Proportional to 299,248 and 654,800

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Solution

The third proportional to 299,248 and 654,800 is: 1,432,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,248 : 654,800 = 654,800 : x
  2. Step 2: Convert to fraction form
    299,248/654,800 = 654,800/x
  3. Step 3: Cross multiply
    299,248x = 654,800 × 654,800
  4. Step 4: Simplify right side
    299,248x = 428,763,040,000
  5. Step 5: Solve for x
    x = 428,763,040,000/299,248
  6. Step 6: Final answer
    x = 1,432,801.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.