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Finding the Third Proportional to 77,206.50 and 165,115.50

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Solution

The third proportional to 77,206.50 and 165,115.50 is: 353,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206.50 : 165,115.50 = 165,115.50 : x
  2. Step 2: Convert to fraction form
    77,206.50/165,115.50 = 165,115.50/x
  3. Step 3: Cross multiply
    77,206.50x = 165,115.50 × 165,115.50
  4. Step 4: Simplify right side
    77,206.50x = 27,263,128,340.25
  5. Step 5: Solve for x
    x = 27,263,128,340.25/77,206.50
  6. Step 6: Final answer
    x = 353,119.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.