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Finding the Third Proportional to 77,811 and 169,756.50

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Solution

The third proportional to 77,811 and 169,756.50 is: 370,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,811 : 169,756.50 = 169,756.50 : x
  2. Step 2: Convert to fraction form
    77,811/169,756.50 = 169,756.50/x
  3. Step 3: Cross multiply
    77,811x = 169,756.50 × 169,756.50
  4. Step 4: Simplify right side
    77,811x = 28,817,269,292.25
  5. Step 5: Solve for x
    x = 28,817,269,292.25/77,811
  6. Step 6: Final answer
    x = 370,349.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.