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Finding the Third Proportional to 418,530 and 906,598.50

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Solution

The third proportional to 418,530 and 906,598.50 is: 1,963,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,530 : 906,598.50 = 906,598.50 : x
  2. Step 2: Convert to fraction form
    418,530/906,598.50 = 906,598.50/x
  3. Step 3: Cross multiply
    418,530x = 906,598.50 × 906,598.50
  4. Step 4: Simplify right side
    418,530x = 821,920,840,202.25
  5. Step 5: Solve for x
    x = 821,920,840,202.25/418,530
  6. Step 6: Final answer
    x = 1,963,827.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.