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Finding the Third Proportional to 217,514 and 319,083

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Solution

The third proportional to 217,514 and 319,083 is: 468,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,514 : 319,083 = 319,083 : x
  2. Step 2: Convert to fraction form
    217,514/319,083 = 319,083/x
  3. Step 3: Cross multiply
    217,514x = 319,083 × 319,083
  4. Step 4: Simplify right side
    217,514x = 101,813,960,889
  5. Step 5: Solve for x
    x = 101,813,960,889/217,514
  6. Step 6: Final answer
    x = 468,080.04

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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.