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Finding the Third Proportional to 105,742 and 155,692

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Solution

The third proportional to 105,742 and 155,692 is: 229,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,742 : 155,692 = 155,692 : x
  2. Step 2: Convert to fraction form
    105,742/155,692 = 155,692/x
  3. Step 3: Cross multiply
    105,742x = 155,692 × 155,692
  4. Step 4: Simplify right side
    105,742x = 24,239,998,864
  5. Step 5: Solve for x
    x = 24,239,998,864/105,742
  6. Step 6: Final answer
    x = 229,237.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.