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Finding the Third Proportional to 369,623 and 809,959

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Solution

The third proportional to 369,623 and 809,959 is: 1,774,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,623 : 809,959 = 809,959 : x
  2. Step 2: Convert to fraction form
    369,623/809,959 = 809,959/x
  3. Step 3: Cross multiply
    369,623x = 809,959 × 809,959
  4. Step 4: Simplify right side
    369,623x = 656,033,581,681
  5. Step 5: Solve for x
    x = 656,033,581,681/369,623
  6. Step 6: Final answer
    x = 1,774,872.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.