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Finding the Third Proportional to 403,530 and 885,428

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Solution

The third proportional to 403,530 and 885,428 is: 1,942,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,530 : 885,428 = 885,428 : x
  2. Step 2: Convert to fraction form
    403,530/885,428 = 885,428/x
  3. Step 3: Cross multiply
    403,530x = 885,428 × 885,428
  4. Step 4: Simplify right side
    403,530x = 783,982,743,184
  5. Step 5: Solve for x
    x = 783,982,743,184/403,530
  6. Step 6: Final answer
    x = 1,942,811.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.