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Finding the Third Proportional to 215,310 and 502,902

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Solution

The third proportional to 215,310 and 502,902 is: 1,174,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,310 : 502,902 = 502,902 : x
  2. Step 2: Convert to fraction form
    215,310/502,902 = 502,902/x
  3. Step 3: Cross multiply
    215,310x = 502,902 × 502,902
  4. Step 4: Simplify right side
    215,310x = 252,910,421,604
  5. Step 5: Solve for x
    x = 252,910,421,604/215,310
  6. Step 6: Final answer
    x = 1,174,633.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.