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Finding the Third Proportional to 217,476 and 317,822

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Solution

The third proportional to 217,476 and 317,822 is: 464,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,476 : 317,822 = 317,822 : x
  2. Step 2: Convert to fraction form
    217,476/317,822 = 317,822/x
  3. Step 3: Cross multiply
    217,476x = 317,822 × 317,822
  4. Step 4: Simplify right side
    217,476x = 101,010,823,684
  5. Step 5: Solve for x
    x = 101,010,823,684/217,476
  6. Step 6: Final answer
    x = 464,468.83

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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.