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Finding the Third Proportional to 217,479 and 317,826

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Solution

The third proportional to 217,479 and 317,826 is: 464,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,479 : 317,826 = 317,826 : x
  2. Step 2: Convert to fraction form
    217,479/317,826 = 317,826/x
  3. Step 3: Cross multiply
    217,479x = 317,826 × 317,826
  4. Step 4: Simplify right side
    217,479x = 101,013,366,276
  5. Step 5: Solve for x
    x = 101,013,366,276/217,479
  6. Step 6: Final answer
    x = 464,474.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.