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Finding the Third Proportional to 431,472 and 940,806

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Solution

The third proportional to 431,472 and 940,806 is: 2,051,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,472 : 940,806 = 940,806 : x
  2. Step 2: Convert to fraction form
    431,472/940,806 = 940,806/x
  3. Step 3: Cross multiply
    431,472x = 940,806 × 940,806
  4. Step 4: Simplify right side
    431,472x = 885,115,929,636
  5. Step 5: Solve for x
    x = 885,115,929,636/431,472
  6. Step 6: Final answer
    x = 2,051,386.72

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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.