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Finding the Third Proportional to 85,484 and 197,880

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Solution

The third proportional to 85,484 and 197,880 is: 458,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,484 : 197,880 = 197,880 : x
  2. Step 2: Convert to fraction form
    85,484/197,880 = 197,880/x
  3. Step 3: Cross multiply
    85,484x = 197,880 × 197,880
  4. Step 4: Simplify right side
    85,484x = 39,156,494,400
  5. Step 5: Solve for x
    x = 39,156,494,400/85,484
  6. Step 6: Final answer
    x = 458,056.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.