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Finding the Third Proportional to 131,337 and 197,977.50

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Solution

The third proportional to 131,337 and 197,977.50 is: 298,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,337 : 197,977.50 = 197,977.50 : x
  2. Step 2: Convert to fraction form
    131,337/197,977.50 = 197,977.50/x
  3. Step 3: Cross multiply
    131,337x = 197,977.50 × 197,977.50
  4. Step 4: Simplify right side
    131,337x = 39,195,090,506.25
  5. Step 5: Solve for x
    x = 39,195,090,506.25/131,337
  6. Step 6: Final answer
    x = 298,431.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.