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Finding the Third Proportional to 221,310 and 335,307

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Solution

The third proportional to 221,310 and 335,307 is: 508,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,310 : 335,307 = 335,307 : x
  2. Step 2: Convert to fraction form
    221,310/335,307 = 335,307/x
  3. Step 3: Cross multiply
    221,310x = 335,307 × 335,307
  4. Step 4: Simplify right side
    221,310x = 112,430,784,249
  5. Step 5: Solve for x
    x = 112,430,784,249/221,310
  6. Step 6: Final answer
    x = 508,023.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.