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Finding the Third Proportional to 69,009 and 140,553

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Solution

The third proportional to 69,009 and 140,553 is: 286,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,009 : 140,553 = 140,553 : x
  2. Step 2: Convert to fraction form
    69,009/140,553 = 140,553/x
  3. Step 3: Cross multiply
    69,009x = 140,553 × 140,553
  4. Step 4: Simplify right side
    69,009x = 19,755,145,809
  5. Step 5: Solve for x
    x = 19,755,145,809/69,009
  6. Step 6: Final answer
    x = 286,269.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.