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Finding the Third Proportional to 28,433 and 42,649

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Solution

The third proportional to 28,433 and 42,649 is: 63,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,433 : 42,649 = 42,649 : x
  2. Step 2: Convert to fraction form
    28,433/42,649 = 42,649/x
  3. Step 3: Cross multiply
    28,433x = 42,649 × 42,649
  4. Step 4: Simplify right side
    28,433x = 1,818,937,201
  5. Step 5: Solve for x
    x = 1,818,937,201/28,433
  6. Step 6: Final answer
    x = 63,972.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.