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Finding the Third Proportional to 66,937 and 140,777

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Solution

The third proportional to 66,937 and 140,777 is: 296,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,937 : 140,777 = 140,777 : x
  2. Step 2: Convert to fraction form
    66,937/140,777 = 140,777/x
  3. Step 3: Cross multiply
    66,937x = 140,777 × 140,777
  4. Step 4: Simplify right side
    66,937x = 19,818,163,729
  5. Step 5: Solve for x
    x = 19,818,163,729/66,937
  6. Step 6: Final answer
    x = 296,071.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.