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Finding the Third Proportional to 63,918 and 139,371

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Solution

The third proportional to 63,918 and 139,371 is: 303,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,918 : 139,371 = 139,371 : x
  2. Step 2: Convert to fraction form
    63,918/139,371 = 139,371/x
  3. Step 3: Cross multiply
    63,918x = 139,371 × 139,371
  4. Step 4: Simplify right side
    63,918x = 19,424,275,641
  5. Step 5: Solve for x
    x = 19,424,275,641/63,918
  6. Step 6: Final answer
    x = 303,893.67

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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.