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Finding the Third Proportional to 189,964 and 405,352

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Solution

The third proportional to 189,964 and 405,352 is: 864,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,964 : 405,352 = 405,352 : x
  2. Step 2: Convert to fraction form
    189,964/405,352 = 405,352/x
  3. Step 3: Cross multiply
    189,964x = 405,352 × 405,352
  4. Step 4: Simplify right side
    189,964x = 164,310,243,904
  5. Step 5: Solve for x
    x = 164,310,243,904/189,964
  6. Step 6: Final answer
    x = 864,954.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.