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Finding the Third Proportional to 427,470 and 940,260

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Solution

The third proportional to 427,470 and 940,260 is: 2,068,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,470 : 940,260 = 940,260 : x
  2. Step 2: Convert to fraction form
    427,470/940,260 = 940,260/x
  3. Step 3: Cross multiply
    427,470x = 940,260 × 940,260
  4. Step 4: Simplify right side
    427,470x = 884,088,867,600
  5. Step 5: Solve for x
    x = 884,088,867,600/427,470
  6. Step 6: Final answer
    x = 2,068,189.27

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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.