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Finding the Third Proportional to 74,772 and 108,648

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Solution

The third proportional to 74,772 and 108,648 is: 157,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,772 : 108,648 = 108,648 : x
  2. Step 2: Convert to fraction form
    74,772/108,648 = 108,648/x
  3. Step 3: Cross multiply
    74,772x = 108,648 × 108,648
  4. Step 4: Simplify right side
    74,772x = 11,804,387,904
  5. Step 5: Solve for x
    x = 11,804,387,904/74,772
  6. Step 6: Final answer
    x = 157,871.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.