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Finding the Third Proportional to 398,115 and 842,886

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Solution

The third proportional to 398,115 and 842,886 is: 1,784,551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,115 : 842,886 = 842,886 : x
  2. Step 2: Convert to fraction form
    398,115/842,886 = 842,886/x
  3. Step 3: Cross multiply
    398,115x = 842,886 × 842,886
  4. Step 4: Simplify right side
    398,115x = 710,456,808,996
  5. Step 5: Solve for x
    x = 710,456,808,996/398,115
  6. Step 6: Final answer
    x = 1,784,551.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.