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Finding the Third Proportional to 63,842 and 139,588

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Solution

The third proportional to 63,842 and 139,588 is: 305,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,842 : 139,588 = 139,588 : x
  2. Step 2: Convert to fraction form
    63,842/139,588 = 139,588/x
  3. Step 3: Cross multiply
    63,842x = 139,588 × 139,588
  4. Step 4: Simplify right side
    63,842x = 19,484,809,744
  5. Step 5: Solve for x
    x = 19,484,809,744/63,842
  6. Step 6: Final answer
    x = 305,203.62

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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.