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Finding the Third Proportional to 402,383 and 870,103

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Solution

The third proportional to 402,383 and 870,103 is: 1,881,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,383 : 870,103 = 870,103 : x
  2. Step 2: Convert to fraction form
    402,383/870,103 = 870,103/x
  3. Step 3: Cross multiply
    402,383x = 870,103 × 870,103
  4. Step 4: Simplify right side
    402,383x = 757,079,230,609
  5. Step 5: Solve for x
    x = 757,079,230,609/402,383
  6. Step 6: Final answer
    x = 1,881,489.11

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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.