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Finding the Third Proportional to 63,857 and 139,378

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Solution

The third proportional to 63,857 and 139,378 is: 304,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,857 : 139,378 = 139,378 : x
  2. Step 2: Convert to fraction form
    63,857/139,378 = 139,378/x
  3. Step 3: Cross multiply
    63,857x = 139,378 × 139,378
  4. Step 4: Simplify right side
    63,857x = 19,426,226,884
  5. Step 5: Solve for x
    x = 19,426,226,884/63,857
  6. Step 6: Final answer
    x = 304,214.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.