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Finding the Third Proportional to 8,644 and 18,514

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Solution

The third proportional to 8,644 and 18,514 is: 39,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644 : 18,514 = 18,514 : x
  2. Step 2: Convert to fraction form
    8,644/18,514 = 18,514/x
  3. Step 3: Cross multiply
    8,644x = 18,514 × 18,514
  4. Step 4: Simplify right side
    8,644x = 342,768,196
  5. Step 5: Solve for x
    x = 342,768,196/8,644
  6. Step 6: Final answer
    x = 39,653.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.