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Finding the Third Proportional to 129,871 and 281,886

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Solution

The third proportional to 129,871 and 281,886 is: 611,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,871 : 281,886 = 281,886 : x
  2. Step 2: Convert to fraction form
    129,871/281,886 = 281,886/x
  3. Step 3: Cross multiply
    129,871x = 281,886 × 281,886
  4. Step 4: Simplify right side
    129,871x = 79,459,716,996
  5. Step 5: Solve for x
    x = 79,459,716,996/129,871
  6. Step 6: Final answer
    x = 611,835.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.