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Finding the Third Proportional to 421,206.75 and 908,841.94

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Solution

The third proportional to 421,206.75 and 908,841.94 is: 1,961,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,206.75 : 908,841.94 = 908,841.94 : x
  2. Step 2: Convert to fraction form
    421,206.75/908,841.94 = 908,841.94/x
  3. Step 3: Cross multiply
    421,206.75x = 908,841.94 × 908,841.94
  4. Step 4: Simplify right side
    421,206.75x = 825,993,667,358.75
  5. Step 5: Solve for x
    x = 825,993,667,358.75/421,206.75
  6. Step 6: Final answer
    x = 1,961,017.17

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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.