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Finding the Third Proportional to 66,378 and 139,560

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Solution

The third proportional to 66,378 and 139,560 is: 293,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,378 : 139,560 = 139,560 : x
  2. Step 2: Convert to fraction form
    66,378/139,560 = 139,560/x
  3. Step 3: Cross multiply
    66,378x = 139,560 × 139,560
  4. Step 4: Simplify right side
    66,378x = 19,476,993,600
  5. Step 5: Solve for x
    x = 19,476,993,600/66,378
  6. Step 6: Final answer
    x = 293,425.44

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Why These Related Problems?

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