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Finding the Third Proportional to 142,677 and 221,229

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Solution

The third proportional to 142,677 and 221,229 is: 343,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,677 : 221,229 = 221,229 : x
  2. Step 2: Convert to fraction form
    142,677/221,229 = 221,229/x
  3. Step 3: Cross multiply
    142,677x = 221,229 × 221,229
  4. Step 4: Simplify right side
    142,677x = 48,942,270,441
  5. Step 5: Solve for x
    x = 48,942,270,441/142,677
  6. Step 6: Final answer
    x = 343,028.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.