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Finding the Third Proportional to 398,837 and 867,658

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Solution

The third proportional to 398,837 and 867,658 is: 1,887,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,837 : 867,658 = 867,658 : x
  2. Step 2: Convert to fraction form
    398,837/867,658 = 867,658/x
  3. Step 3: Cross multiply
    398,837x = 867,658 × 867,658
  4. Step 4: Simplify right side
    398,837x = 752,830,404,964
  5. Step 5: Solve for x
    x = 752,830,404,964/398,837
  6. Step 6: Final answer
    x = 1,887,564.11

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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.