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Finding the Third Proportional to 131,127 and 281,370

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Solution

The third proportional to 131,127 and 281,370 is: 603,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,127 : 281,370 = 281,370 : x
  2. Step 2: Convert to fraction form
    131,127/281,370 = 281,370/x
  3. Step 3: Cross multiply
    131,127x = 281,370 × 281,370
  4. Step 4: Simplify right side
    131,127x = 79,169,076,900
  5. Step 5: Solve for x
    x = 79,169,076,900/131,127
  6. Step 6: Final answer
    x = 603,758.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.