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Finding the Third Proportional to 221,716 and 502,620

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Solution

The third proportional to 221,716 and 502,620 is: 1,139,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,716 : 502,620 = 502,620 : x
  2. Step 2: Convert to fraction form
    221,716/502,620 = 502,620/x
  3. Step 3: Cross multiply
    221,716x = 502,620 × 502,620
  4. Step 4: Simplify right side
    221,716x = 252,626,864,400
  5. Step 5: Solve for x
    x = 252,626,864,400/221,716
  6. Step 6: Final answer
    x = 1,139,416.48

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.