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Finding the Third Proportional to 304,928 and 809,384

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Solution

The third proportional to 304,928 and 809,384 is: 2,148,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,928 : 809,384 = 809,384 : x
  2. Step 2: Convert to fraction form
    304,928/809,384 = 809,384/x
  3. Step 3: Cross multiply
    304,928x = 809,384 × 809,384
  4. Step 4: Simplify right side
    304,928x = 655,102,459,456
  5. Step 5: Solve for x
    x = 655,102,459,456/304,928
  6. Step 6: Final answer
    x = 2,148,384.08

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.