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Finding the Third Proportional to 105,221 and 157,386

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Solution

The third proportional to 105,221 and 157,386 is: 235,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,221 : 157,386 = 157,386 : x
  2. Step 2: Convert to fraction form
    105,221/157,386 = 157,386/x
  3. Step 3: Cross multiply
    105,221x = 157,386 × 157,386
  4. Step 4: Simplify right side
    105,221x = 24,770,352,996
  5. Step 5: Solve for x
    x = 24,770,352,996/105,221
  6. Step 6: Final answer
    x = 235,412.64

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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.