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Finding the Third Proportional to 42,225 and 66,861

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Solution

The third proportional to 42,225 and 66,861 is: 105,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,225 : 66,861 = 66,861 : x
  2. Step 2: Convert to fraction form
    42,225/66,861 = 66,861/x
  3. Step 3: Cross multiply
    42,225x = 66,861 × 66,861
  4. Step 4: Simplify right side
    42,225x = 4,470,393,321
  5. Step 5: Solve for x
    x = 4,470,393,321/42,225
  6. Step 6: Final answer
    x = 105,870.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.