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Finding the Third Proportional to 63,776 and 139,035

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Solution

The third proportional to 63,776 and 139,035 is: 303,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,776 : 139,035 = 139,035 : x
  2. Step 2: Convert to fraction form
    63,776/139,035 = 139,035/x
  3. Step 3: Cross multiply
    63,776x = 139,035 × 139,035
  4. Step 4: Simplify right side
    63,776x = 19,330,731,225
  5. Step 5: Solve for x
    x = 19,330,731,225/63,776
  6. Step 6: Final answer
    x = 303,103.54

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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.