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Finding the Third Proportional to 379,621.50 and 571,916.25

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Solution

The third proportional to 379,621.50 and 571,916.25 is: 861,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,621.50 : 571,916.25 = 571,916.25 : x
  2. Step 2: Convert to fraction form
    379,621.50/571,916.25 = 571,916.25/x
  3. Step 3: Cross multiply
    379,621.50x = 571,916.25 × 571,916.25
  4. Step 4: Simplify right side
    379,621.50x = 327,088,197,014.06
  5. Step 5: Solve for x
    x = 327,088,197,014.06/379,621.50
  6. Step 6: Final answer
    x = 861,616.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.