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Finding the Third Proportional to 66,278 and 139,396

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Solution

The third proportional to 66,278 and 139,396 is: 293,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,278 : 139,396 = 139,396 : x
  2. Step 2: Convert to fraction form
    66,278/139,396 = 139,396/x
  3. Step 3: Cross multiply
    66,278x = 139,396 × 139,396
  4. Step 4: Simplify right side
    66,278x = 19,431,244,816
  5. Step 5: Solve for x
    x = 19,431,244,816/66,278
  6. Step 6: Final answer
    x = 293,177.90

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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.