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Finding the Third Proportional to 70,185 and 91,539

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Solution

The third proportional to 70,185 and 91,539 is: 119,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,185 : 91,539 = 91,539 : x
  2. Step 2: Convert to fraction form
    70,185/91,539 = 91,539/x
  3. Step 3: Cross multiply
    70,185x = 91,539 × 91,539
  4. Step 4: Simplify right side
    70,185x = 8,379,388,521
  5. Step 5: Solve for x
    x = 8,379,388,521/70,185
  6. Step 6: Final answer
    x = 119,390.02

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.