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Finding the Third Proportional to 638,120 and 987,950

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Solution

The third proportional to 638,120 and 987,950 is: 1,529,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,120 : 987,950 = 987,950 : x
  2. Step 2: Convert to fraction form
    638,120/987,950 = 987,950/x
  3. Step 3: Cross multiply
    638,120x = 987,950 × 987,950
  4. Step 4: Simplify right side
    638,120x = 976,045,202,500
  5. Step 5: Solve for x
    x = 976,045,202,500/638,120
  6. Step 6: Final answer
    x = 1,529,563.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.