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Finding the Third Proportional to 908,400 and 1,910,895

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Solution

The third proportional to 908,400 and 1,910,895 is: 4,019,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,400 : 1,910,895 = 1,910,895 : x
  2. Step 2: Convert to fraction form
    908,400/1,910,895 = 1,910,895/x
  3. Step 3: Cross multiply
    908,400x = 1,910,895 × 1,910,895
  4. Step 4: Simplify right side
    908,400x = 3,651,519,701,025
  5. Step 5: Solve for x
    x = 3,651,519,701,025/908,400
  6. Step 6: Final answer
    x = 4,019,726.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.