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Finding the Third Proportional to 156,909.75 and 342,977.25

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Solution

The third proportional to 156,909.75 and 342,977.25 is: 749,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909.75 : 342,977.25 = 342,977.25 : x
  2. Step 2: Convert to fraction form
    156,909.75/342,977.25 = 342,977.25/x
  3. Step 3: Cross multiply
    156,909.75x = 342,977.25 × 342,977.25
  4. Step 4: Simplify right side
    156,909.75x = 117,633,394,017.56
  5. Step 5: Solve for x
    x = 117,633,394,017.56/156,909.75
  6. Step 6: Final answer
    x = 749,688.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.