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Finding the Third Proportional to 402,381 and 870,099

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Solution

The third proportional to 402,381 and 870,099 is: 1,881,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,381 : 870,099 = 870,099 : x
  2. Step 2: Convert to fraction form
    402,381/870,099 = 870,099/x
  3. Step 3: Cross multiply
    402,381x = 870,099 × 870,099
  4. Step 4: Simplify right side
    402,381x = 757,072,269,801
  5. Step 5: Solve for x
    x = 757,072,269,801/402,381
  6. Step 6: Final answer
    x = 1,881,481.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.