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Finding the Third Proportional to 890,128 and 1,366,296

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Solution

The third proportional to 890,128 and 1,366,296 is: 2,097,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,128 : 1,366,296 = 1,366,296 : x
  2. Step 2: Convert to fraction form
    890,128/1,366,296 = 1,366,296/x
  3. Step 3: Cross multiply
    890,128x = 1,366,296 × 1,366,296
  4. Step 4: Simplify right side
    890,128x = 1,866,764,759,616
  5. Step 5: Solve for x
    x = 1,866,764,759,616/890,128
  6. Step 6: Final answer
    x = 2,097,186.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.