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Finding the Third Proportional to 177,812.50 and 387,579.50

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Solution

The third proportional to 177,812.50 and 387,579.50 is: 844,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,812.50 : 387,579.50 = 387,579.50 : x
  2. Step 2: Convert to fraction form
    177,812.50/387,579.50 = 387,579.50/x
  3. Step 3: Cross multiply
    177,812.50x = 387,579.50 × 387,579.50
  4. Step 4: Simplify right side
    177,812.50x = 150,217,868,820.25
  5. Step 5: Solve for x
    x = 150,217,868,820.25/177,812.50
  6. Step 6: Final answer
    x = 844,810.51

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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.