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Finding the Third Proportional to 97,208 and 211,280

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Solution

The third proportional to 97,208 and 211,280 is: 459,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,208 : 211,280 = 211,280 : x
  2. Step 2: Convert to fraction form
    97,208/211,280 = 211,280/x
  3. Step 3: Cross multiply
    97,208x = 211,280 × 211,280
  4. Step 4: Simplify right side
    97,208x = 44,639,238,400
  5. Step 5: Solve for x
    x = 44,639,238,400/97,208
  6. Step 6: Final answer
    x = 459,213.63

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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.