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Finding the Third Proportional to 30,990 and 63,613

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Solution

The third proportional to 30,990 and 63,613 is: 130,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990 : 63,613 = 63,613 : x
  2. Step 2: Convert to fraction form
    30,990/63,613 = 63,613/x
  3. Step 3: Cross multiply
    30,990x = 63,613 × 63,613
  4. Step 4: Simplify right side
    30,990x = 4,046,613,769
  5. Step 5: Solve for x
    x = 4,046,613,769/30,990
  6. Step 6: Final answer
    x = 130,578.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.