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Finding the Third Proportional to 398,835 and 867,654

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Solution

The third proportional to 398,835 and 867,654 is: 1,887,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,835 : 867,654 = 867,654 : x
  2. Step 2: Convert to fraction form
    398,835/867,654 = 867,654/x
  3. Step 3: Cross multiply
    398,835x = 867,654 × 867,654
  4. Step 4: Simplify right side
    398,835x = 752,823,463,716
  5. Step 5: Solve for x
    x = 752,823,463,716/398,835
  6. Step 6: Final answer
    x = 1,887,556.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.