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Finding the Third Proportional to 73,566 and 110,574

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Solution

The third proportional to 73,566 and 110,574 is: 166,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,566 : 110,574 = 110,574 : x
  2. Step 2: Convert to fraction form
    73,566/110,574 = 110,574/x
  3. Step 3: Cross multiply
    73,566x = 110,574 × 110,574
  4. Step 4: Simplify right side
    73,566x = 12,226,609,476
  5. Step 5: Solve for x
    x = 12,226,609,476/73,566
  6. Step 6: Final answer
    x = 166,199.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.