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Finding the Third Proportional to 840,496 and 1,273,380

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Solution

The third proportional to 840,496 and 1,273,380 is: 1,929,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,496 : 1,273,380 = 1,273,380 : x
  2. Step 2: Convert to fraction form
    840,496/1,273,380 = 1,273,380/x
  3. Step 3: Cross multiply
    840,496x = 1,273,380 × 1,273,380
  4. Step 4: Simplify right side
    840,496x = 1,621,496,624,400
  5. Step 5: Solve for x
    x = 1,621,496,624,400/840,496
  6. Step 6: Final answer
    x = 1,929,213.97

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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.