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Finding the Third Proportional to 398,362 and 860,148

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Solution

The third proportional to 398,362 and 860,148 is: 1,857,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,362 : 860,148 = 860,148 : x
  2. Step 2: Convert to fraction form
    398,362/860,148 = 860,148/x
  3. Step 3: Cross multiply
    398,362x = 860,148 × 860,148
  4. Step 4: Simplify right side
    398,362x = 739,854,581,904
  5. Step 5: Solve for x
    x = 739,854,581,904/398,362
  6. Step 6: Final answer
    x = 1,857,241.86

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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.