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Finding the Third Proportional to 105,243 and 157,986

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Solution

The third proportional to 105,243 and 157,986 is: 237,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,243 : 157,986 = 157,986 : x
  2. Step 2: Convert to fraction form
    105,243/157,986 = 157,986/x
  3. Step 3: Cross multiply
    105,243x = 157,986 × 157,986
  4. Step 4: Simplify right side
    105,243x = 24,959,576,196
  5. Step 5: Solve for x
    x = 24,959,576,196/105,243
  6. Step 6: Final answer
    x = 237,161.39

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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.