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Finding the Third Proportional to 105,742 and 155,690

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Solution

The third proportional to 105,742 and 155,690 is: 229,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,742 : 155,690 = 155,690 : x
  2. Step 2: Convert to fraction form
    105,742/155,690 = 155,690/x
  3. Step 3: Cross multiply
    105,742x = 155,690 × 155,690
  4. Step 4: Simplify right side
    105,742x = 24,239,376,100
  5. Step 5: Solve for x
    x = 24,239,376,100/105,742
  6. Step 6: Final answer
    x = 229,231.30

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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.