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Finding the Third Proportional to 30,488 and 65,836

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Solution

The third proportional to 30,488 and 65,836 is: 142,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488 : 65,836 = 65,836 : x
  2. Step 2: Convert to fraction form
    30,488/65,836 = 65,836/x
  3. Step 3: Cross multiply
    30,488x = 65,836 × 65,836
  4. Step 4: Simplify right side
    30,488x = 4,334,378,896
  5. Step 5: Solve for x
    x = 4,334,378,896/30,488
  6. Step 6: Final answer
    x = 142,166.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.