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Finding the Third Proportional to 66,960 and 139,475

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Solution

The third proportional to 66,960 and 139,475 is: 290,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,960 : 139,475 = 139,475 : x
  2. Step 2: Convert to fraction form
    66,960/139,475 = 139,475/x
  3. Step 3: Cross multiply
    66,960x = 139,475 × 139,475
  4. Step 4: Simplify right side
    66,960x = 19,453,275,625
  5. Step 5: Solve for x
    x = 19,453,275,625/66,960
  6. Step 6: Final answer
    x = 290,520.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.