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Finding the Third Proportional to 131,407 and 187,910

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Solution

The third proportional to 131,407 and 187,910 is: 268,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,407 : 187,910 = 187,910 : x
  2. Step 2: Convert to fraction form
    131,407/187,910 = 187,910/x
  3. Step 3: Cross multiply
    131,407x = 187,910 × 187,910
  4. Step 4: Simplify right side
    131,407x = 35,310,168,100
  5. Step 5: Solve for x
    x = 35,310,168,100/131,407
  6. Step 6: Final answer
    x = 268,708.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.