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Finding the Third Proportional to 428,364 and 890,424

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Solution

The third proportional to 428,364 and 890,424 is: 1,850,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,364 : 890,424 = 890,424 : x
  2. Step 2: Convert to fraction form
    428,364/890,424 = 890,424/x
  3. Step 3: Cross multiply
    428,364x = 890,424 × 890,424
  4. Step 4: Simplify right side
    428,364x = 792,854,899,776
  5. Step 5: Solve for x
    x = 792,854,899,776/428,364
  6. Step 6: Final answer
    x = 1,850,890.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.