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Finding the Third Proportional to 42,121 and 90,770

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Solution

The third proportional to 42,121 and 90,770 is: 195,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,121 : 90,770 = 90,770 : x
  2. Step 2: Convert to fraction form
    42,121/90,770 = 90,770/x
  3. Step 3: Cross multiply
    42,121x = 90,770 × 90,770
  4. Step 4: Simplify right side
    42,121x = 8,239,192,900
  5. Step 5: Solve for x
    x = 8,239,192,900/42,121
  6. Step 6: Final answer
    x = 195,607.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.