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Finding the Third Proportional to 280,298 and 658,040

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Solution

The third proportional to 280,298 and 658,040 is: 1,544,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,298 : 658,040 = 658,040 : x
  2. Step 2: Convert to fraction form
    280,298/658,040 = 658,040/x
  3. Step 3: Cross multiply
    280,298x = 658,040 × 658,040
  4. Step 4: Simplify right side
    280,298x = 433,016,641,600
  5. Step 5: Solve for x
    x = 433,016,641,600/280,298
  6. Step 6: Final answer
    x = 1,544,843.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.