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Finding the Third Proportional to 176,415 and 387,822

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Solution

The third proportional to 176,415 and 387,822 is: 852,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,415 : 387,822 = 387,822 : x
  2. Step 2: Convert to fraction form
    176,415/387,822 = 387,822/x
  3. Step 3: Cross multiply
    176,415x = 387,822 × 387,822
  4. Step 4: Simplify right side
    176,415x = 150,405,903,684
  5. Step 5: Solve for x
    x = 150,405,903,684/176,415
  6. Step 6: Final answer
    x = 852,568.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.