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Finding the Third Proportional to 45,984 and 66,978

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Solution

The third proportional to 45,984 and 66,978 is: 97,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,984 : 66,978 = 66,978 : x
  2. Step 2: Convert to fraction form
    45,984/66,978 = 66,978/x
  3. Step 3: Cross multiply
    45,984x = 66,978 × 66,978
  4. Step 4: Simplify right side
    45,984x = 4,486,052,484
  5. Step 5: Solve for x
    x = 4,486,052,484/45,984
  6. Step 6: Final answer
    x = 97,556.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.