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Finding the Third Proportional to 71,319 and 105,883

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Solution

The third proportional to 71,319 and 105,883 is: 157,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,319 : 105,883 = 105,883 : x
  2. Step 2: Convert to fraction form
    71,319/105,883 = 105,883/x
  3. Step 3: Cross multiply
    71,319x = 105,883 × 105,883
  4. Step 4: Simplify right side
    71,319x = 11,211,209,689
  5. Step 5: Solve for x
    x = 11,211,209,689/71,319
  6. Step 6: Final answer
    x = 157,198.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.