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Finding the Third Proportional to 809,976 and 1,287,304

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Solution

The third proportional to 809,976 and 1,287,304 is: 2,045,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,976 : 1,287,304 = 1,287,304 : x
  2. Step 2: Convert to fraction form
    809,976/1,287,304 = 1,287,304/x
  3. Step 3: Cross multiply
    809,976x = 1,287,304 × 1,287,304
  4. Step 4: Simplify right side
    809,976x = 1,657,151,588,416
  5. Step 5: Solve for x
    x = 1,657,151,588,416/809,976
  6. Step 6: Final answer
    x = 2,045,926.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.