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Finding the Third Proportional to 30,820 and 48,986

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Solution

The third proportional to 30,820 and 48,986 is: 77,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820 : 48,986 = 48,986 : x
  2. Step 2: Convert to fraction form
    30,820/48,986 = 48,986/x
  3. Step 3: Cross multiply
    30,820x = 48,986 × 48,986
  4. Step 4: Simplify right side
    30,820x = 2,399,628,196
  5. Step 5: Solve for x
    x = 2,399,628,196/30,820
  6. Step 6: Final answer
    x = 77,859.45

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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.