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Finding the Third Proportional to 218,768 and 474,881

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Solution

The third proportional to 218,768 and 474,881 is: 1,030,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,768 : 474,881 = 474,881 : x
  2. Step 2: Convert to fraction form
    218,768/474,881 = 474,881/x
  3. Step 3: Cross multiply
    218,768x = 474,881 × 474,881
  4. Step 4: Simplify right side
    218,768x = 225,511,964,161
  5. Step 5: Solve for x
    x = 225,511,964,161/218,768
  6. Step 6: Final answer
    x = 1,030,827.01

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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.