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Finding the Third Proportional to 421,908 and 923,950

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Solution

The third proportional to 421,908 and 923,950 is: 2,023,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,908 : 923,950 = 923,950 : x
  2. Step 2: Convert to fraction form
    421,908/923,950 = 923,950/x
  3. Step 3: Cross multiply
    421,908x = 923,950 × 923,950
  4. Step 4: Simplify right side
    421,908x = 853,683,602,500
  5. Step 5: Solve for x
    x = 853,683,602,500/421,908
  6. Step 6: Final answer
    x = 2,023,388.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.