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Finding the Third Proportional to 812,893.50 and 1,143,720

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Solution

The third proportional to 812,893.50 and 1,143,720 is: 1,609,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,893.50 : 1,143,720 = 1,143,720 : x
  2. Step 2: Convert to fraction form
    812,893.50/1,143,720 = 1,143,720/x
  3. Step 3: Cross multiply
    812,893.50x = 1,143,720 × 1,143,720
  4. Step 4: Simplify right side
    812,893.50x = 1,308,095,438,400
  5. Step 5: Solve for x
    x = 1,308,095,438,400/812,893.50
  6. Step 6: Final answer
    x = 1,609,184.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.