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Finding the Third Proportional to 70,109 and 105,999.50

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Solution

The third proportional to 70,109 and 105,999.50 is: 160,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109 : 105,999.50 = 105,999.50 : x
  2. Step 2: Convert to fraction form
    70,109/105,999.50 = 105,999.50/x
  3. Step 3: Cross multiply
    70,109x = 105,999.50 × 105,999.50
  4. Step 4: Simplify right side
    70,109x = 11,235,894,000.25
  5. Step 5: Solve for x
    x = 11,235,894,000.25/70,109
  6. Step 6: Final answer
    x = 160,263.22

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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.