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Finding the Third Proportional to 30,810 and 48,979

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Solution

The third proportional to 30,810 and 48,979 is: 77,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810 : 48,979 = 48,979 : x
  2. Step 2: Convert to fraction form
    30,810/48,979 = 48,979/x
  3. Step 3: Cross multiply
    30,810x = 48,979 × 48,979
  4. Step 4: Simplify right side
    30,810x = 2,398,942,441
  5. Step 5: Solve for x
    x = 2,398,942,441/30,810
  6. Step 6: Final answer
    x = 77,862.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.