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Finding the Third Proportional to 189,684 and 402,732

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Solution

The third proportional to 189,684 and 402,732 is: 855,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,684 : 402,732 = 402,732 : x
  2. Step 2: Convert to fraction form
    189,684/402,732 = 402,732/x
  3. Step 3: Cross multiply
    189,684x = 402,732 × 402,732
  4. Step 4: Simplify right side
    189,684x = 162,193,063,824
  5. Step 5: Solve for x
    x = 162,193,063,824/189,684
  6. Step 6: Final answer
    x = 855,069.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.