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Finding the Third Proportional to 90,731 and 118,600

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Solution

The third proportional to 90,731 and 118,600 is: 155,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,731 : 118,600 = 118,600 : x
  2. Step 2: Convert to fraction form
    90,731/118,600 = 118,600/x
  3. Step 3: Cross multiply
    90,731x = 118,600 × 118,600
  4. Step 4: Simplify right side
    90,731x = 14,065,960,000
  5. Step 5: Solve for x
    x = 14,065,960,000/90,731
  6. Step 6: Final answer
    x = 155,029.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.