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Finding the Third Proportional to 512,840 and 796,140

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Solution

The third proportional to 512,840 and 796,140 is: 1,235,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,840 : 796,140 = 796,140 : x
  2. Step 2: Convert to fraction form
    512,840/796,140 = 796,140/x
  3. Step 3: Cross multiply
    512,840x = 796,140 × 796,140
  4. Step 4: Simplify right side
    512,840x = 633,838,899,600
  5. Step 5: Solve for x
    x = 633,838,899,600/512,840
  6. Step 6: Final answer
    x = 1,235,938.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.