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Finding the Third Proportional to 69,711 and 105,220.50

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Solution

The third proportional to 69,711 and 105,220.50 is: 158,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,711 : 105,220.50 = 105,220.50 : x
  2. Step 2: Convert to fraction form
    69,711/105,220.50 = 105,220.50/x
  3. Step 3: Cross multiply
    69,711x = 105,220.50 × 105,220.50
  4. Step 4: Simplify right side
    69,711x = 11,071,353,620.25
  5. Step 5: Solve for x
    x = 11,071,353,620.25/69,711
  6. Step 6: Final answer
    x = 158,817.89

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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.