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Finding the Third Proportional to 393,446 and 842,988

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Solution

The third proportional to 393,446 and 842,988 is: 1,806,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,446 : 842,988 = 842,988 : x
  2. Step 2: Convert to fraction form
    393,446/842,988 = 842,988/x
  3. Step 3: Cross multiply
    393,446x = 842,988 × 842,988
  4. Step 4: Simplify right side
    393,446x = 710,628,768,144
  5. Step 5: Solve for x
    x = 710,628,768,144/393,446
  6. Step 6: Final answer
    x = 1,806,165.95

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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.