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Finding the Third Proportional to 221,306 and 335,301

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Solution

The third proportional to 221,306 and 335,301 is: 508,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,306 : 335,301 = 335,301 : x
  2. Step 2: Convert to fraction form
    221,306/335,301 = 335,301/x
  3. Step 3: Cross multiply
    221,306x = 335,301 × 335,301
  4. Step 4: Simplify right side
    221,306x = 112,426,760,601
  5. Step 5: Solve for x
    x = 112,426,760,601/221,306
  6. Step 6: Final answer
    x = 508,014.97

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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.