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Finding the Third Proportional to 189,720 and 413,784

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Solution

The third proportional to 189,720 and 413,784 is: 902,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,720 : 413,784 = 413,784 : x
  2. Step 2: Convert to fraction form
    189,720/413,784 = 413,784/x
  3. Step 3: Cross multiply
    189,720x = 413,784 × 413,784
  4. Step 4: Simplify right side
    189,720x = 171,217,198,656
  5. Step 5: Solve for x
    x = 171,217,198,656/189,720
  6. Step 6: Final answer
    x = 902,473.11

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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.