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Finding the Third Proportional to 90,731.81 and 197,380.13

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Solution

The third proportional to 90,731.81 and 197,380.13 is: 429,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,731.81 : 197,380.13 = 197,380.13 : x
  2. Step 2: Convert to fraction form
    90,731.81/197,380.13 = 197,380.13/x
  3. Step 3: Cross multiply
    90,731.81x = 197,380.13 × 197,380.13
  4. Step 4: Simplify right side
    90,731.81x = 38,958,913,745.02
  5. Step 5: Solve for x
    x = 38,958,913,745.02/90,731.81
  6. Step 6: Final answer
    x = 429,385.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.