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Finding the Third Proportional to 891,036 and 1,287,394

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Solution

The third proportional to 891,036 and 1,287,394 is: 1,860,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,036 : 1,287,394 = 1,287,394 : x
  2. Step 2: Convert to fraction form
    891,036/1,287,394 = 1,287,394/x
  3. Step 3: Cross multiply
    891,036x = 1,287,394 × 1,287,394
  4. Step 4: Simplify right side
    891,036x = 1,657,383,311,236
  5. Step 5: Solve for x
    x = 1,657,383,311,236/891,036
  6. Step 6: Final answer
    x = 1,860,063.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.