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Finding the Third Proportional to 393,748 and 856,424

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Solution

The third proportional to 393,748 and 856,424 is: 1,862,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,748 : 856,424 = 856,424 : x
  2. Step 2: Convert to fraction form
    393,748/856,424 = 856,424/x
  3. Step 3: Cross multiply
    393,748x = 856,424 × 856,424
  4. Step 4: Simplify right side
    393,748x = 733,462,067,776
  5. Step 5: Solve for x
    x = 733,462,067,776/393,748
  6. Step 6: Final answer
    x = 1,862,770.27

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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.