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Finding the Third Proportional to 156,309.75 and 211,804.88

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Solution

The third proportional to 156,309.75 and 211,804.88 is: 287,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,309.75 : 211,804.88 = 211,804.88 : x
  2. Step 2: Convert to fraction form
    156,309.75/211,804.88 = 211,804.88/x
  3. Step 3: Cross multiply
    156,309.75x = 211,804.88 × 211,804.88
  4. Step 4: Simplify right side
    156,309.75x = 44,861,305,073.77
  5. Step 5: Solve for x
    x = 44,861,305,073.77/156,309.75
  6. Step 6: Final answer
    x = 287,002.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.