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Finding the Third Proportional to 840,492 and 1,273,374

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Solution

The third proportional to 840,492 and 1,273,374 is: 1,929,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,492 : 1,273,374 = 1,273,374 : x
  2. Step 2: Convert to fraction form
    840,492/1,273,374 = 1,273,374/x
  3. Step 3: Cross multiply
    840,492x = 1,273,374 × 1,273,374
  4. Step 4: Simplify right side
    840,492x = 1,621,481,343,876
  5. Step 5: Solve for x
    x = 1,621,481,343,876/840,492
  6. Step 6: Final answer
    x = 1,929,204.97

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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.