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Finding the Third Proportional to 177,815 and 387,584

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Solution

The third proportional to 177,815 and 387,584 is: 844,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,815 : 387,584 = 387,584 : x
  2. Step 2: Convert to fraction form
    177,815/387,584 = 387,584/x
  3. Step 3: Cross multiply
    177,815x = 387,584 × 387,584
  4. Step 4: Simplify right side
    177,815x = 150,221,357,056
  5. Step 5: Solve for x
    x = 150,221,357,056/177,815
  6. Step 6: Final answer
    x = 844,818.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.