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Finding the Third Proportional to 97,120 and 208,288

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Solution

The third proportional to 97,120 and 208,288 is: 446,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,120 : 208,288 = 208,288 : x
  2. Step 2: Convert to fraction form
    97,120/208,288 = 208,288/x
  3. Step 3: Cross multiply
    97,120x = 208,288 × 208,288
  4. Step 4: Simplify right side
    97,120x = 43,383,890,944
  5. Step 5: Solve for x
    x = 43,383,890,944/97,120
  6. Step 6: Final answer
    x = 446,703.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.