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Finding the Third Proportional to 71,907 and 107,862

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Solution

The third proportional to 71,907 and 107,862 is: 161,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,907 : 107,862 = 107,862 : x
  2. Step 2: Convert to fraction form
    71,907/107,862 = 107,862/x
  3. Step 3: Cross multiply
    71,907x = 107,862 × 107,862
  4. Step 4: Simplify right side
    71,907x = 11,634,211,044
  5. Step 5: Solve for x
    x = 11,634,211,044/71,907
  6. Step 6: Final answer
    x = 161,795.25

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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.