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Finding the Third Proportional to 177,783 and 293,640

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Solution

The third proportional to 177,783 and 293,640 is: 484,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,783 : 293,640 = 293,640 : x
  2. Step 2: Convert to fraction form
    177,783/293,640 = 293,640/x
  3. Step 3: Cross multiply
    177,783x = 293,640 × 293,640
  4. Step 4: Simplify right side
    177,783x = 86,224,449,600
  5. Step 5: Solve for x
    x = 86,224,449,600/177,783
  6. Step 6: Final answer
    x = 484,998.28

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.