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Finding the Third Proportional to 398,765 and 860,143

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Solution

The third proportional to 398,765 and 860,143 is: 1,855,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,765 : 860,143 = 860,143 : x
  2. Step 2: Convert to fraction form
    398,765/860,143 = 860,143/x
  3. Step 3: Cross multiply
    398,765x = 860,143 × 860,143
  4. Step 4: Simplify right side
    398,765x = 739,845,980,449
  5. Step 5: Solve for x
    x = 739,845,980,449/398,765
  6. Step 6: Final answer
    x = 1,855,343.32

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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.