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Finding the Third Proportional to 189,778 and 412,964

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Solution

The third proportional to 189,778 and 412,964 is: 898,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,778 : 412,964 = 412,964 : x
  2. Step 2: Convert to fraction form
    189,778/412,964 = 412,964/x
  3. Step 3: Cross multiply
    189,778x = 412,964 × 412,964
  4. Step 4: Simplify right side
    189,778x = 170,539,265,296
  5. Step 5: Solve for x
    x = 170,539,265,296/189,778
  6. Step 6: Final answer
    x = 898,625.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.