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Finding the Third Proportional to 218,823 and 474,992.25

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Solution

The third proportional to 218,823 and 474,992.25 is: 1,031,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,823 : 474,992.25 = 474,992.25 : x
  2. Step 2: Convert to fraction form
    218,823/474,992.25 = 474,992.25/x
  3. Step 3: Cross multiply
    218,823x = 474,992.25 × 474,992.25
  4. Step 4: Simplify right side
    218,823x = 225,617,637,560.06
  5. Step 5: Solve for x
    x = 225,617,637,560.06/218,823
  6. Step 6: Final answer
    x = 1,031,050.84

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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.