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Finding the Third Proportional to 30,587 and 67,191

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Solution

The third proportional to 30,587 and 67,191 is: 147,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587 : 67,191 = 67,191 : x
  2. Step 2: Convert to fraction form
    30,587/67,191 = 67,191/x
  3. Step 3: Cross multiply
    30,587x = 67,191 × 67,191
  4. Step 4: Simplify right side
    30,587x = 4,514,630,481
  5. Step 5: Solve for x
    x = 4,514,630,481/30,587
  6. Step 6: Final answer
    x = 147,599.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.