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Finding the Third Proportional to 221,099 and 519,716

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Solution

The third proportional to 221,099 and 519,716 is: 1,221,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,099 : 519,716 = 519,716 : x
  2. Step 2: Convert to fraction form
    221,099/519,716 = 519,716/x
  3. Step 3: Cross multiply
    221,099x = 519,716 × 519,716
  4. Step 4: Simplify right side
    221,099x = 270,104,720,656
  5. Step 5: Solve for x
    x = 270,104,720,656/221,099
  6. Step 6: Final answer
    x = 1,221,646.05

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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.