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Finding the Third Proportional to 747,821 and 1,630,979

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Solution

The third proportional to 747,821 and 1,630,979 is: 3,557,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,821 : 1,630,979 = 1,630,979 : x
  2. Step 2: Convert to fraction form
    747,821/1,630,979 = 1,630,979/x
  3. Step 3: Cross multiply
    747,821x = 1,630,979 × 1,630,979
  4. Step 4: Simplify right side
    747,821x = 2,660,092,498,441
  5. Step 5: Solve for x
    x = 2,660,092,498,441/747,821
  6. Step 6: Final answer
    x = 3,557,124.63

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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.