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Finding the Third Proportional to 67,319 and 105,612

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Solution

The third proportional to 67,319 and 105,612 is: 165,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,319 : 105,612 = 105,612 : x
  2. Step 2: Convert to fraction form
    67,319/105,612 = 105,612/x
  3. Step 3: Cross multiply
    67,319x = 105,612 × 105,612
  4. Step 4: Simplify right side
    67,319x = 11,153,894,544
  5. Step 5: Solve for x
    x = 11,153,894,544/67,319
  6. Step 6: Final answer
    x = 165,687.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.