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Finding the Third Proportional to 71,878 and 102,924

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Solution

The third proportional to 71,878 and 102,924 is: 147,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,878 : 102,924 = 102,924 : x
  2. Step 2: Convert to fraction form
    71,878/102,924 = 102,924/x
  3. Step 3: Cross multiply
    71,878x = 102,924 × 102,924
  4. Step 4: Simplify right side
    71,878x = 10,593,349,776
  5. Step 5: Solve for x
    x = 10,593,349,776/71,878
  6. Step 6: Final answer
    x = 147,379.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.