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Finding the Third Proportional to 63,554 and 139,556

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Solution

The third proportional to 63,554 and 139,556 is: 306,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,554 : 139,556 = 139,556 : x
  2. Step 2: Convert to fraction form
    63,554/139,556 = 139,556/x
  3. Step 3: Cross multiply
    63,554x = 139,556 × 139,556
  4. Step 4: Simplify right side
    63,554x = 19,475,877,136
  5. Step 5: Solve for x
    x = 19,475,877,136/63,554
  6. Step 6: Final answer
    x = 306,446.13

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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.