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Finding the Third Proportional to 428,386 and 940,853

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Solution

The third proportional to 428,386 and 940,853 is: 2,066,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,386 : 940,853 = 940,853 : x
  2. Step 2: Convert to fraction form
    428,386/940,853 = 940,853/x
  3. Step 3: Cross multiply
    428,386x = 940,853 × 940,853
  4. Step 4: Simplify right side
    428,386x = 885,204,367,609
  5. Step 5: Solve for x
    x = 885,204,367,609/428,386
  6. Step 6: Final answer
    x = 2,066,370.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.