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Finding the Third Proportional to 28,656 and 45,450

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Solution

The third proportional to 28,656 and 45,450 is: 72,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,656 : 45,450 = 45,450 : x
  2. Step 2: Convert to fraction form
    28,656/45,450 = 45,450/x
  3. Step 3: Cross multiply
    28,656x = 45,450 × 45,450
  4. Step 4: Simplify right side
    28,656x = 2,065,702,500
  5. Step 5: Solve for x
    x = 2,065,702,500/28,656
  6. Step 6: Final answer
    x = 72,086.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.