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Finding the Third Proportional to 153,009 and 208,599

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Solution

The third proportional to 153,009 and 208,599 is: 284,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,009 : 208,599 = 208,599 : x
  2. Step 2: Convert to fraction form
    153,009/208,599 = 208,599/x
  3. Step 3: Cross multiply
    153,009x = 208,599 × 208,599
  4. Step 4: Simplify right side
    153,009x = 43,513,542,801
  5. Step 5: Solve for x
    x = 43,513,542,801/153,009
  6. Step 6: Final answer
    x = 284,385.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.