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Finding the Third Proportional to 71,438 and 107,804

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Solution

The third proportional to 71,438 and 107,804 is: 162,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438 : 107,804 = 107,804 : x
  2. Step 2: Convert to fraction form
    71,438/107,804 = 107,804/x
  3. Step 3: Cross multiply
    71,438x = 107,804 × 107,804
  4. Step 4: Simplify right side
    71,438x = 11,621,702,416
  5. Step 5: Solve for x
    x = 11,621,702,416/71,438
  6. Step 6: Final answer
    x = 162,682.36

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Why These Related Problems?

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