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Finding the Third Proportional to 30,877 and 46,981

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Solution

The third proportional to 30,877 and 46,981 is: 71,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877 : 46,981 = 46,981 : x
  2. Step 2: Convert to fraction form
    30,877/46,981 = 46,981/x
  3. Step 3: Cross multiply
    30,877x = 46,981 × 46,981
  4. Step 4: Simplify right side
    30,877x = 2,207,214,361
  5. Step 5: Solve for x
    x = 2,207,214,361/30,877
  6. Step 6: Final answer
    x = 71,484.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.