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Finding the Third Proportional to 386,743 and 856,430

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Solution

The third proportional to 386,743 and 856,430 is: 1,896,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,743 : 856,430 = 856,430 : x
  2. Step 2: Convert to fraction form
    386,743/856,430 = 856,430/x
  3. Step 3: Cross multiply
    386,743x = 856,430 × 856,430
  4. Step 4: Simplify right side
    386,743x = 733,472,344,900
  5. Step 5: Solve for x
    x = 733,472,344,900/386,743
  6. Step 6: Final answer
    x = 1,896,536.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.