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Finding the Third Proportional to 398,403 and 860,187

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Solution

The third proportional to 398,403 and 860,187 is: 1,857,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,403 : 860,187 = 860,187 : x
  2. Step 2: Convert to fraction form
    398,403/860,187 = 860,187/x
  3. Step 3: Cross multiply
    398,403x = 860,187 × 860,187
  4. Step 4: Simplify right side
    398,403x = 739,921,674,969
  5. Step 5: Solve for x
    x = 739,921,674,969/398,403
  6. Step 6: Final answer
    x = 1,857,219.13

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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.