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Finding the Third Proportional to 97,129 and 211,349

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Solution

The third proportional to 97,129 and 211,349 is: 459,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,129 : 211,349 = 211,349 : x
  2. Step 2: Convert to fraction form
    97,129/211,349 = 211,349/x
  3. Step 3: Cross multiply
    97,129x = 211,349 × 211,349
  4. Step 4: Simplify right side
    97,129x = 44,668,399,801
  5. Step 5: Solve for x
    x = 44,668,399,801/97,129
  6. Step 6: Final answer
    x = 459,887.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.