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Finding the Third Proportional to 217,472 and 317,816

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Solution

The third proportional to 217,472 and 317,816 is: 464,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,472 : 317,816 = 317,816 : x
  2. Step 2: Convert to fraction form
    217,472/317,816 = 317,816/x
  3. Step 3: Cross multiply
    217,472x = 317,816 × 317,816
  4. Step 4: Simplify right side
    217,472x = 101,007,009,856
  5. Step 5: Solve for x
    x = 101,007,009,856/217,472
  6. Step 6: Final answer
    x = 464,459.84

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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.