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Finding the Third Proportional to 77,779.50 and 166,220.50

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Solution

The third proportional to 77,779.50 and 166,220.50 is: 355,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779.50 : 166,220.50 = 166,220.50 : x
  2. Step 2: Convert to fraction form
    77,779.50/166,220.50 = 166,220.50/x
  3. Step 3: Cross multiply
    77,779.50x = 166,220.50 × 166,220.50
  4. Step 4: Simplify right side
    77,779.50x = 27,629,254,620.25
  5. Step 5: Solve for x
    x = 27,629,254,620.25/77,779.50
  6. Step 6: Final answer
    x = 355,225.41

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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.