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Finding the Third Proportional to 45,028 and 77,262

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Solution

The third proportional to 45,028 and 77,262 is: 132,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,028 : 77,262 = 77,262 : x
  2. Step 2: Convert to fraction form
    45,028/77,262 = 77,262/x
  3. Step 3: Cross multiply
    45,028x = 77,262 × 77,262
  4. Step 4: Simplify right side
    45,028x = 5,969,416,644
  5. Step 5: Solve for x
    x = 5,969,416,644/45,028
  6. Step 6: Final answer
    x = 132,571.21

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.