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Finding the Third Proportional to 63,916 and 139,367

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Solution

The third proportional to 63,916 and 139,367 is: 303,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,916 : 139,367 = 139,367 : x
  2. Step 2: Convert to fraction form
    63,916/139,367 = 139,367/x
  3. Step 3: Cross multiply
    63,916x = 139,367 × 139,367
  4. Step 4: Simplify right side
    63,916x = 19,423,160,689
  5. Step 5: Solve for x
    x = 19,423,160,689/63,916
  6. Step 6: Final answer
    x = 303,885.74

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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.