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Finding the Third Proportional to 284,826.85 and 618,553.65

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Solution

The third proportional to 284,826.85 and 618,553.65 is: 1,343,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,826.85 : 618,553.65 = 618,553.65 : x
  2. Step 2: Convert to fraction form
    284,826.85/618,553.65 = 618,553.65/x
  3. Step 3: Cross multiply
    284,826.85x = 618,553.65 × 618,553.65
  4. Step 4: Simplify right side
    284,826.85x = 382,608,620,827.81
  5. Step 5: Solve for x
    x = 382,608,620,827.81/284,826.85
  6. Step 6: Final answer
    x = 1,343,302.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.