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Finding the Third Proportional to 218,808 and 474,999.75

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Solution

The third proportional to 218,808 and 474,999.75 is: 1,031,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,808 : 474,999.75 = 474,999.75 : x
  2. Step 2: Convert to fraction form
    218,808/474,999.75 = 474,999.75/x
  3. Step 3: Cross multiply
    218,808x = 474,999.75 × 474,999.75
  4. Step 4: Simplify right side
    218,808x = 225,624,762,500.06
  5. Step 5: Solve for x
    x = 225,624,762,500.06/218,808
  6. Step 6: Final answer
    x = 1,031,154.08

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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.