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Finding the Third Proportional to 57,742 and 120,072

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Solution

The third proportional to 57,742 and 120,072 is: 249,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742 : 120,072 = 120,072 : x
  2. Step 2: Convert to fraction form
    57,742/120,072 = 120,072/x
  3. Step 3: Cross multiply
    57,742x = 120,072 × 120,072
  4. Step 4: Simplify right side
    57,742x = 14,417,285,184
  5. Step 5: Solve for x
    x = 14,417,285,184/57,742
  6. Step 6: Final answer
    x = 249,684.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.