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Finding the Third Proportional to 139,764 and 217,948

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Solution

The third proportional to 139,764 and 217,948 is: 339,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,764 : 217,948 = 217,948 : x
  2. Step 2: Convert to fraction form
    139,764/217,948 = 217,948/x
  3. Step 3: Cross multiply
    139,764x = 217,948 × 217,948
  4. Step 4: Simplify right side
    139,764x = 47,501,330,704
  5. Step 5: Solve for x
    x = 47,501,330,704/139,764
  6. Step 6: Final answer
    x = 339,868.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.