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Finding the Third Proportional to 105,740 and 155,689

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Solution

The third proportional to 105,740 and 155,689 is: 229,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,740 : 155,689 = 155,689 : x
  2. Step 2: Convert to fraction form
    105,740/155,689 = 155,689/x
  3. Step 3: Cross multiply
    105,740x = 155,689 × 155,689
  4. Step 4: Simplify right side
    105,740x = 24,239,064,721
  5. Step 5: Solve for x
    x = 24,239,064,721/105,740
  6. Step 6: Final answer
    x = 229,232.69

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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.