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Finding the Third Proportional to 189,084 and 287,556

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Solution

The third proportional to 189,084 and 287,556 is: 437,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,084 : 287,556 = 287,556 : x
  2. Step 2: Convert to fraction form
    189,084/287,556 = 287,556/x
  3. Step 3: Cross multiply
    189,084x = 287,556 × 287,556
  4. Step 4: Simplify right side
    189,084x = 82,688,453,136
  5. Step 5: Solve for x
    x = 82,688,453,136/189,084
  6. Step 6: Final answer
    x = 437,310.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.