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Finding the Third Proportional to 77,772 and 170,609.25

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Solution

The third proportional to 77,772 and 170,609.25 is: 374,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,772 : 170,609.25 = 170,609.25 : x
  2. Step 2: Convert to fraction form
    77,772/170,609.25 = 170,609.25/x
  3. Step 3: Cross multiply
    77,772x = 170,609.25 × 170,609.25
  4. Step 4: Simplify right side
    77,772x = 29,107,516,185.56
  5. Step 5: Solve for x
    x = 29,107,516,185.56/77,772
  6. Step 6: Final answer
    x = 374,267.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.