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Finding the Third Proportional to 63,447 and 139,638

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Solution

The third proportional to 63,447 and 139,638 is: 307,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,447 : 139,638 = 139,638 : x
  2. Step 2: Convert to fraction form
    63,447/139,638 = 139,638/x
  3. Step 3: Cross multiply
    63,447x = 139,638 × 139,638
  4. Step 4: Simplify right side
    63,447x = 19,498,771,044
  5. Step 5: Solve for x
    x = 19,498,771,044/63,447
  6. Step 6: Final answer
    x = 307,323.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.