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Finding the Third Proportional to 185,803 and 401,413

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Solution

The third proportional to 185,803 and 401,413 is: 867,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,803 : 401,413 = 401,413 : x
  2. Step 2: Convert to fraction form
    185,803/401,413 = 401,413/x
  3. Step 3: Cross multiply
    185,803x = 401,413 × 401,413
  4. Step 4: Simplify right side
    185,803x = 161,132,396,569
  5. Step 5: Solve for x
    x = 161,132,396,569/185,803
  6. Step 6: Final answer
    x = 867,221.72

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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.