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Finding the Third Proportional to 692,440 and 1,491,440

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Solution

The third proportional to 692,440 and 1,491,440 is: 3,212,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,440 : 1,491,440 = 1,491,440 : x
  2. Step 2: Convert to fraction form
    692,440/1,491,440 = 1,491,440/x
  3. Step 3: Cross multiply
    692,440x = 1,491,440 × 1,491,440
  4. Step 4: Simplify right side
    692,440x = 2,224,393,273,600
  5. Step 5: Solve for x
    x = 2,224,393,273,600/692,440
  6. Step 6: Final answer
    x = 3,212,398.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.