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Finding the Third Proportional to 28,822 and 45,115

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Solution

The third proportional to 28,822 and 45,115 is: 70,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,822 : 45,115 = 45,115 : x
  2. Step 2: Convert to fraction form
    28,822/45,115 = 45,115/x
  3. Step 3: Cross multiply
    28,822x = 45,115 × 45,115
  4. Step 4: Simplify right side
    28,822x = 2,035,363,225
  5. Step 5: Solve for x
    x = 2,035,363,225/28,822
  6. Step 6: Final answer
    x = 70,618.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.