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Finding the Third Proportional to 398,796 and 860,208

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Solution

The third proportional to 398,796 and 860,208 is: 1,855,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,796 : 860,208 = 860,208 : x
  2. Step 2: Convert to fraction form
    398,796/860,208 = 860,208/x
  3. Step 3: Cross multiply
    398,796x = 860,208 × 860,208
  4. Step 4: Simplify right side
    398,796x = 739,957,803,264
  5. Step 5: Solve for x
    x = 739,957,803,264/398,796
  6. Step 6: Final answer
    x = 1,855,479.50

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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.