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Finding the Third Proportional to 63,806 and 139,882

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Solution

The third proportional to 63,806 and 139,882 is: 306,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,806 : 139,882 = 139,882 : x
  2. Step 2: Convert to fraction form
    63,806/139,882 = 139,882/x
  3. Step 3: Cross multiply
    63,806x = 139,882 × 139,882
  4. Step 4: Simplify right side
    63,806x = 19,566,973,924
  5. Step 5: Solve for x
    x = 19,566,973,924/63,806
  6. Step 6: Final answer
    x = 306,663.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.