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Finding the Third Proportional to 40,400 and 58,800

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Solution

The third proportional to 40,400 and 58,800 is: 85,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,400 : 58,800 = 58,800 : x
  2. Step 2: Convert to fraction form
    40,400/58,800 = 58,800/x
  3. Step 3: Cross multiply
    40,400x = 58,800 × 58,800
  4. Step 4: Simplify right side
    40,400x = 3,457,440,000
  5. Step 5: Solve for x
    x = 3,457,440,000/40,400
  6. Step 6: Final answer
    x = 85,580.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.