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Finding the Third Proportional to 395,905 and 870,536

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Solution

The third proportional to 395,905 and 870,536 is: 1,914,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,905 : 870,536 = 870,536 : x
  2. Step 2: Convert to fraction form
    395,905/870,536 = 870,536/x
  3. Step 3: Cross multiply
    395,905x = 870,536 × 870,536
  4. Step 4: Simplify right side
    395,905x = 757,832,927,296
  5. Step 5: Solve for x
    x = 757,832,927,296/395,905
  6. Step 6: Final answer
    x = 1,914,178.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.