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Finding the Third Proportional to 69,572 and 105,686

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Solution

The third proportional to 69,572 and 105,686 is: 160,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,572 : 105,686 = 105,686 : x
  2. Step 2: Convert to fraction form
    69,572/105,686 = 105,686/x
  3. Step 3: Cross multiply
    69,572x = 105,686 × 105,686
  4. Step 4: Simplify right side
    69,572x = 11,169,530,596
  5. Step 5: Solve for x
    x = 11,169,530,596/69,572
  6. Step 6: Final answer
    x = 160,546.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.