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Finding the Third Proportional to 106,320 and 169,208

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Solution

The third proportional to 106,320 and 169,208 is: 269,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,320 : 169,208 = 169,208 : x
  2. Step 2: Convert to fraction form
    106,320/169,208 = 169,208/x
  3. Step 3: Cross multiply
    106,320x = 169,208 × 169,208
  4. Step 4: Simplify right side
    106,320x = 28,631,347,264
  5. Step 5: Solve for x
    x = 28,631,347,264/106,320
  6. Step 6: Final answer
    x = 269,294.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.