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Finding the Third Proportional to 103,599 and 135,445.50

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Solution

The third proportional to 103,599 and 135,445.50 is: 177,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,599 : 135,445.50 = 135,445.50 : x
  2. Step 2: Convert to fraction form
    103,599/135,445.50 = 135,445.50/x
  3. Step 3: Cross multiply
    103,599x = 135,445.50 × 135,445.50
  4. Step 4: Simplify right side
    103,599x = 18,345,483,470.25
  5. Step 5: Solve for x
    x = 18,345,483,470.25/103,599
  6. Step 6: Final answer
    x = 177,081.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.