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Finding the Third Proportional to 76,809 and 119,209.50

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Solution

The third proportional to 76,809 and 119,209.50 is: 185,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809 : 119,209.50 = 119,209.50 : x
  2. Step 2: Convert to fraction form
    76,809/119,209.50 = 119,209.50/x
  3. Step 3: Cross multiply
    76,809x = 119,209.50 × 119,209.50
  4. Step 4: Simplify right side
    76,809x = 14,210,904,890.25
  5. Step 5: Solve for x
    x = 14,210,904,890.25/76,809
  6. Step 6: Final answer
    x = 185,016.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.