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Finding the Third Proportional to 517,997 and 803,896

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Solution

The third proportional to 517,997 and 803,896 is: 1,247,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,997 : 803,896 = 803,896 : x
  2. Step 2: Convert to fraction form
    517,997/803,896 = 803,896/x
  3. Step 3: Cross multiply
    517,997x = 803,896 × 803,896
  4. Step 4: Simplify right side
    517,997x = 646,248,778,816
  5. Step 5: Solve for x
    x = 646,248,778,816/517,997
  6. Step 6: Final answer
    x = 1,247,591.74

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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.