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Finding the Third Proportional to 39,701 and 56,431

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Solution

The third proportional to 39,701 and 56,431 is: 80,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,701 : 56,431 = 56,431 : x
  2. Step 2: Convert to fraction form
    39,701/56,431 = 56,431/x
  3. Step 3: Cross multiply
    39,701x = 56,431 × 56,431
  4. Step 4: Simplify right side
    39,701x = 3,184,457,761
  5. Step 5: Solve for x
    x = 3,184,457,761/39,701
  6. Step 6: Final answer
    x = 80,211.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.