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Finding the Third Proportional to 77,284.50 and 162,870.75

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Solution

The third proportional to 77,284.50 and 162,870.75 is: 343,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284.50 : 162,870.75 = 162,870.75 : x
  2. Step 2: Convert to fraction form
    77,284.50/162,870.75 = 162,870.75/x
  3. Step 3: Cross multiply
    77,284.50x = 162,870.75 × 162,870.75
  4. Step 4: Simplify right side
    77,284.50x = 26,526,881,205.56
  5. Step 5: Solve for x
    x = 26,526,881,205.56/77,284.50
  6. Step 6: Final answer
    x = 343,236.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.