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Finding the Third Proportional to 551,445 and 851,617

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Solution

The third proportional to 551,445 and 851,617 is: 1,315,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,445 : 851,617 = 851,617 : x
  2. Step 2: Convert to fraction form
    551,445/851,617 = 851,617/x
  3. Step 3: Cross multiply
    551,445x = 851,617 × 851,617
  4. Step 4: Simplify right side
    551,445x = 725,251,514,689
  5. Step 5: Solve for x
    x = 725,251,514,689/551,445
  6. Step 6: Final answer
    x = 1,315,183.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.