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Finding the Third Proportional to 16,387 and 38,518

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Solution

The third proportional to 16,387 and 38,518 is: 90,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387 : 38,518 = 38,518 : x
  2. Step 2: Convert to fraction form
    16,387/38,518 = 38,518/x
  3. Step 3: Cross multiply
    16,387x = 38,518 × 38,518
  4. Step 4: Simplify right side
    16,387x = 1,483,636,324
  5. Step 5: Solve for x
    x = 1,483,636,324/16,387
  6. Step 6: Final answer
    x = 90,537.40

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.