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Finding the Third Proportional to 188,688 and 285,466.50

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Solution

The third proportional to 188,688 and 285,466.50 is: 431,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,688 : 285,466.50 = 285,466.50 : x
  2. Step 2: Convert to fraction form
    188,688/285,466.50 = 285,466.50/x
  3. Step 3: Cross multiply
    188,688x = 285,466.50 × 285,466.50
  4. Step 4: Simplify right side
    188,688x = 81,491,122,622.25
  5. Step 5: Solve for x
    x = 81,491,122,622.25/188,688
  6. Step 6: Final answer
    x = 431,882.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.