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Finding the Third Proportional to 77,769 and 170,604.50

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Solution

The third proportional to 77,769 and 170,604.50 is: 374,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769 : 170,604.50 = 170,604.50 : x
  2. Step 2: Convert to fraction form
    77,769/170,604.50 = 170,604.50/x
  3. Step 3: Cross multiply
    77,769x = 170,604.50 × 170,604.50
  4. Step 4: Simplify right side
    77,769x = 29,105,895,420.25
  5. Step 5: Solve for x
    x = 29,105,895,420.25/77,769
  6. Step 6: Final answer
    x = 374,260.89

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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.