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Finding the Third Proportional to 221,313 and 335,309

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Solution

The third proportional to 221,313 and 335,309 is: 508,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,313 : 335,309 = 335,309 : x
  2. Step 2: Convert to fraction form
    221,313/335,309 = 335,309/x
  3. Step 3: Cross multiply
    221,313x = 335,309 × 335,309
  4. Step 4: Simplify right side
    221,313x = 112,432,125,481
  5. Step 5: Solve for x
    x = 112,432,125,481/221,313
  6. Step 6: Final answer
    x = 508,023.14

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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.