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Finding the Third Proportional to 221,408 and 334,733

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Solution

The third proportional to 221,408 and 334,733 is: 506,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,408 : 334,733 = 334,733 : x
  2. Step 2: Convert to fraction form
    221,408/334,733 = 334,733/x
  3. Step 3: Cross multiply
    221,408x = 334,733 × 334,733
  4. Step 4: Simplify right side
    221,408x = 112,046,181,289
  5. Step 5: Solve for x
    x = 112,046,181,289/221,408
  6. Step 6: Final answer
    x = 506,062.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.