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Finding the Third Proportional to 189,992 and 296,490

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Solution

The third proportional to 189,992 and 296,490 is: 462,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,992 : 296,490 = 296,490 : x
  2. Step 2: Convert to fraction form
    189,992/296,490 = 296,490/x
  3. Step 3: Cross multiply
    189,992x = 296,490 × 296,490
  4. Step 4: Simplify right side
    189,992x = 87,906,320,100
  5. Step 5: Solve for x
    x = 87,906,320,100/189,992
  6. Step 6: Final answer
    x = 462,684.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.