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Finding the Third Proportional to 189,000 and 386,640

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Solution

The third proportional to 189,000 and 386,640 is: 790,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000 : 386,640 = 386,640 : x
  2. Step 2: Convert to fraction form
    189,000/386,640 = 386,640/x
  3. Step 3: Cross multiply
    189,000x = 386,640 × 386,640
  4. Step 4: Simplify right side
    189,000x = 149,490,489,600
  5. Step 5: Solve for x
    x = 149,490,489,600/189,000
  6. Step 6: Final answer
    x = 790,954.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.