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Finding the Third Proportional to 61,620 and 143,772

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Solution

The third proportional to 61,620 and 143,772 is: 335,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,620 : 143,772 = 143,772 : x
  2. Step 2: Convert to fraction form
    61,620/143,772 = 143,772/x
  3. Step 3: Cross multiply
    61,620x = 143,772 × 143,772
  4. Step 4: Simplify right side
    61,620x = 20,670,387,984
  5. Step 5: Solve for x
    x = 20,670,387,984/61,620
  6. Step 6: Final answer
    x = 335,449.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.