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Finding the Third Proportional to 419,082 and 905,124

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Solution

The third proportional to 419,082 and 905,124 is: 1,954,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,082 : 905,124 = 905,124 : x
  2. Step 2: Convert to fraction form
    419,082/905,124 = 905,124/x
  3. Step 3: Cross multiply
    419,082x = 905,124 × 905,124
  4. Step 4: Simplify right side
    419,082x = 819,249,455,376
  5. Step 5: Solve for x
    x = 819,249,455,376/419,082
  6. Step 6: Final answer
    x = 1,954,866.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.