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Finding the Third Proportional to 189,476.72 and 405,207.56

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Solution

The third proportional to 189,476.72 and 405,207.56 is: 866,561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,476.72 : 405,207.56 = 405,207.56 : x
  2. Step 2: Convert to fraction form
    189,476.72/405,207.56 = 405,207.56/x
  3. Step 3: Cross multiply
    189,476.72x = 405,207.56 × 405,207.56
  4. Step 4: Simplify right side
    189,476.72x = 164,193,168,707.19
  5. Step 5: Solve for x
    x = 164,193,168,707.19/189,476.72
  6. Step 6: Final answer
    x = 866,561.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.