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Finding the Third Proportional to 431,492 and 940,840

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Solution

The third proportional to 431,492 and 940,840 is: 2,051,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,492 : 940,840 = 940,840 : x
  2. Step 2: Convert to fraction form
    431,492/940,840 = 940,840/x
  3. Step 3: Cross multiply
    431,492x = 940,840 × 940,840
  4. Step 4: Simplify right side
    431,492x = 885,179,905,600
  5. Step 5: Solve for x
    x = 885,179,905,600/431,492
  6. Step 6: Final answer
    x = 2,051,439.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.