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Finding the Third Proportional to 217,836 and 474,429

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Solution

The third proportional to 217,836 and 474,429 is: 1,033,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,836 : 474,429 = 474,429 : x
  2. Step 2: Convert to fraction form
    217,836/474,429 = 474,429/x
  3. Step 3: Cross multiply
    217,836x = 474,429 × 474,429
  4. Step 4: Simplify right side
    217,836x = 225,082,876,041
  5. Step 5: Solve for x
    x = 225,082,876,041/217,836
  6. Step 6: Final answer
    x = 1,033,267.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.