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Finding the Third Proportional to 64,978 and 97,947

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Solution

The third proportional to 64,978 and 97,947 is: 147,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,978 : 97,947 = 97,947 : x
  2. Step 2: Convert to fraction form
    64,978/97,947 = 97,947/x
  3. Step 3: Cross multiply
    64,978x = 97,947 × 97,947
  4. Step 4: Simplify right side
    64,978x = 9,593,614,809
  5. Step 5: Solve for x
    x = 9,593,614,809/64,978
  6. Step 6: Final answer
    x = 147,644.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.