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Finding the Third Proportional to 177,780 and 387,515

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Solution

The third proportional to 177,780 and 387,515 is: 844,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,780 : 387,515 = 387,515 : x
  2. Step 2: Convert to fraction form
    177,780/387,515 = 387,515/x
  3. Step 3: Cross multiply
    177,780x = 387,515 × 387,515
  4. Step 4: Simplify right side
    177,780x = 150,167,875,225
  5. Step 5: Solve for x
    x = 150,167,875,225/177,780
  6. Step 6: Final answer
    x = 844,683.74

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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.