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Finding the Third Proportional to 434,128 and 940,424

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Solution

The third proportional to 434,128 and 940,424 is: 2,037,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,128 : 940,424 = 940,424 : x
  2. Step 2: Convert to fraction form
    434,128/940,424 = 940,424/x
  3. Step 3: Cross multiply
    434,128x = 940,424 × 940,424
  4. Step 4: Simplify right side
    434,128x = 884,397,299,776
  5. Step 5: Solve for x
    x = 884,397,299,776/434,128
  6. Step 6: Final answer
    x = 2,037,180.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.