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Finding the Third Proportional to 189,557 and 285,104.50

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Solution

The third proportional to 189,557 and 285,104.50 is: 428,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,557 : 285,104.50 = 285,104.50 : x
  2. Step 2: Convert to fraction form
    189,557/285,104.50 = 285,104.50/x
  3. Step 3: Cross multiply
    189,557x = 285,104.50 × 285,104.50
  4. Step 4: Simplify right side
    189,557x = 81,284,575,920.25
  5. Step 5: Solve for x
    x = 81,284,575,920.25/189,557
  6. Step 6: Final answer
    x = 428,813.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.