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Finding the Third Proportional to 152,868 and 220,187

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Solution

The third proportional to 152,868 and 220,187 is: 317,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,868 : 220,187 = 220,187 : x
  2. Step 2: Convert to fraction form
    152,868/220,187 = 220,187/x
  3. Step 3: Cross multiply
    152,868x = 220,187 × 220,187
  4. Step 4: Simplify right side
    152,868x = 48,482,314,969
  5. Step 5: Solve for x
    x = 48,482,314,969/152,868
  6. Step 6: Final answer
    x = 317,151.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.