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Finding the Third Proportional to 63,660 and 139,563

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Solution

The third proportional to 63,660 and 139,563 is: 305,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,660 : 139,563 = 139,563 : x
  2. Step 2: Convert to fraction form
    63,660/139,563 = 139,563/x
  3. Step 3: Cross multiply
    63,660x = 139,563 × 139,563
  4. Step 4: Simplify right side
    63,660x = 19,477,830,969
  5. Step 5: Solve for x
    x = 19,477,830,969/63,660
  6. Step 6: Final answer
    x = 305,966.56

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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.