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Finding the Third Proportional to 42,619 and 63,929

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Solution

The third proportional to 42,619 and 63,929 is: 95,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,619 : 63,929 = 63,929 : x
  2. Step 2: Convert to fraction form
    42,619/63,929 = 63,929/x
  3. Step 3: Cross multiply
    42,619x = 63,929 × 63,929
  4. Step 4: Simplify right side
    42,619x = 4,086,917,041
  5. Step 5: Solve for x
    x = 4,086,917,041/42,619
  6. Step 6: Final answer
    x = 95,894.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.