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Finding the Third Proportional to 378,999 and 842,076

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Solution

The third proportional to 378,999 and 842,076 is: 1,870,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,999 : 842,076 = 842,076 : x
  2. Step 2: Convert to fraction form
    378,999/842,076 = 842,076/x
  3. Step 3: Cross multiply
    378,999x = 842,076 × 842,076
  4. Step 4: Simplify right side
    378,999x = 709,091,989,776
  5. Step 5: Solve for x
    x = 709,091,989,776/378,999
  6. Step 6: Final answer
    x = 1,870,960.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.