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Finding the Third Proportional to 217,684 and 319,074

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Solution

The third proportional to 217,684 and 319,074 is: 467,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,684 : 319,074 = 319,074 : x
  2. Step 2: Convert to fraction form
    217,684/319,074 = 319,074/x
  3. Step 3: Cross multiply
    217,684x = 319,074 × 319,074
  4. Step 4: Simplify right side
    217,684x = 101,808,217,476
  5. Step 5: Solve for x
    x = 101,808,217,476/217,684
  6. Step 6: Final answer
    x = 467,688.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.