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Finding the Third Proportional to 31,871 and 66,037

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Solution

The third proportional to 31,871 and 66,037 is: 136,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871 : 66,037 = 66,037 : x
  2. Step 2: Convert to fraction form
    31,871/66,037 = 66,037/x
  3. Step 3: Cross multiply
    31,871x = 66,037 × 66,037
  4. Step 4: Simplify right side
    31,871x = 4,360,885,369
  5. Step 5: Solve for x
    x = 4,360,885,369/31,871
  6. Step 6: Final answer
    x = 136,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.