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Finding the Third Proportional to 656,869 and 997,640

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Solution

The third proportional to 656,869 and 997,640 is: 1,515,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,869 : 997,640 = 997,640 : x
  2. Step 2: Convert to fraction form
    656,869/997,640 = 997,640/x
  3. Step 3: Cross multiply
    656,869x = 997,640 × 997,640
  4. Step 4: Simplify right side
    656,869x = 995,285,569,600
  5. Step 5: Solve for x
    x = 995,285,569,600/656,869
  6. Step 6: Final answer
    x = 1,515,196.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.