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Finding the Third Proportional to 66,987 and 144,489

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Solution

The third proportional to 66,987 and 144,489 is: 311,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,987 : 144,489 = 144,489 : x
  2. Step 2: Convert to fraction form
    66,987/144,489 = 144,489/x
  3. Step 3: Cross multiply
    66,987x = 144,489 × 144,489
  4. Step 4: Simplify right side
    66,987x = 20,877,071,121
  5. Step 5: Solve for x
    x = 20,877,071,121/66,987
  6. Step 6: Final answer
    x = 311,658.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.