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Finding the Third Proportional to 30,140 and 61,132

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Solution

The third proportional to 30,140 and 61,132 is: 123,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140 : 61,132 = 61,132 : x
  2. Step 2: Convert to fraction form
    30,140/61,132 = 61,132/x
  3. Step 3: Cross multiply
    30,140x = 61,132 × 61,132
  4. Step 4: Simplify right side
    30,140x = 3,737,121,424
  5. Step 5: Solve for x
    x = 3,737,121,424/30,140
  6. Step 6: Final answer
    x = 123,992.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.