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Finding the Third Proportional to 909,129 and 1,912,218

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Solution

The third proportional to 909,129 and 1,912,218 is: 4,022,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,129 : 1,912,218 = 1,912,218 : x
  2. Step 2: Convert to fraction form
    909,129/1,912,218 = 1,912,218/x
  3. Step 3: Cross multiply
    909,129x = 1,912,218 × 1,912,218
  4. Step 4: Simplify right side
    909,129x = 3,656,577,679,524
  5. Step 5: Solve for x
    x = 3,656,577,679,524/909,129
  6. Step 6: Final answer
    x = 4,022,066.92

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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.