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Finding the Third Proportional to 401,065 and 856,251.50

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Solution

The third proportional to 401,065 and 856,251.50 is: 1,828,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,065 : 856,251.50 = 856,251.50 : x
  2. Step 2: Convert to fraction form
    401,065/856,251.50 = 856,251.50/x
  3. Step 3: Cross multiply
    401,065x = 856,251.50 × 856,251.50
  4. Step 4: Simplify right side
    401,065x = 733,166,631,252.25
  5. Step 5: Solve for x
    x = 733,166,631,252.25/401,065
  6. Step 6: Final answer
    x = 1,828,049.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.