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Finding the Third Proportional to 393,336 and 842,754.38

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Solution

The third proportional to 393,336 and 842,754.38 is: 1,805,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,336 : 842,754.38 = 842,754.38 : x
  2. Step 2: Convert to fraction form
    393,336/842,754.38 = 842,754.38/x
  3. Step 3: Cross multiply
    393,336x = 842,754.38 × 842,754.38
  4. Step 4: Simplify right side
    393,336x = 710,234,936,581.64
  5. Step 5: Solve for x
    x = 710,234,936,581.64/393,336
  6. Step 6: Final answer
    x = 1,805,669.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.