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Finding the Third Proportional to 398,783 and 860,178

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Solution

The third proportional to 398,783 and 860,178 is: 1,855,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,783 : 860,178 = 860,178 : x
  2. Step 2: Convert to fraction form
    398,783/860,178 = 860,178/x
  3. Step 3: Cross multiply
    398,783x = 860,178 × 860,178
  4. Step 4: Simplify right side
    398,783x = 739,906,191,684
  5. Step 5: Solve for x
    x = 739,906,191,684/398,783
  6. Step 6: Final answer
    x = 1,855,410.57

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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.