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Finding the Third Proportional to 63,778 and 139,037

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Solution

The third proportional to 63,778 and 139,037 is: 303,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,778 : 139,037 = 139,037 : x
  2. Step 2: Convert to fraction form
    63,778/139,037 = 139,037/x
  3. Step 3: Cross multiply
    63,778x = 139,037 × 139,037
  4. Step 4: Simplify right side
    63,778x = 19,331,287,369
  5. Step 5: Solve for x
    x = 19,331,287,369/63,778
  6. Step 6: Final answer
    x = 303,102.75

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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.