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Finding the Third Proportional to 517,993 and 803,890

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Solution

The third proportional to 517,993 and 803,890 is: 1,247,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,993 : 803,890 = 803,890 : x
  2. Step 2: Convert to fraction form
    517,993/803,890 = 803,890/x
  3. Step 3: Cross multiply
    517,993x = 803,890 × 803,890
  4. Step 4: Simplify right side
    517,993x = 646,239,132,100
  5. Step 5: Solve for x
    x = 646,239,132,100/517,993
  6. Step 6: Final answer
    x = 1,247,582.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.