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Finding the Third Proportional to 90,420 and 133,787

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Solution

The third proportional to 90,420 and 133,787 is: 197,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,420 : 133,787 = 133,787 : x
  2. Step 2: Convert to fraction form
    90,420/133,787 = 133,787/x
  3. Step 3: Cross multiply
    90,420x = 133,787 × 133,787
  4. Step 4: Simplify right side
    90,420x = 17,898,961,369
  5. Step 5: Solve for x
    x = 17,898,961,369/90,420
  6. Step 6: Final answer
    x = 197,953.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.