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Finding the Third Proportional to 30,709 and 48,961.50

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Solution

The third proportional to 30,709 and 48,961.50 is: 78,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709 : 48,961.50 = 48,961.50 : x
  2. Step 2: Convert to fraction form
    30,709/48,961.50 = 48,961.50/x
  3. Step 3: Cross multiply
    30,709x = 48,961.50 × 48,961.50
  4. Step 4: Simplify right side
    30,709x = 2,397,228,482.25
  5. Step 5: Solve for x
    x = 2,397,228,482.25/30,709
  6. Step 6: Final answer
    x = 78,062.73

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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.