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Finding the Third Proportional to 63,213 and 139,567

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Solution

The third proportional to 63,213 and 139,567 is: 308,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,213 : 139,567 = 139,567 : x
  2. Step 2: Convert to fraction form
    63,213/139,567 = 139,567/x
  3. Step 3: Cross multiply
    63,213x = 139,567 × 139,567
  4. Step 4: Simplify right side
    63,213x = 19,478,947,489
  5. Step 5: Solve for x
    x = 19,478,947,489/63,213
  6. Step 6: Final answer
    x = 308,147.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.