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Finding the Third Proportional to 189,200 and 292,980

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Solution

The third proportional to 189,200 and 292,980 is: 453,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200 : 292,980 = 292,980 : x
  2. Step 2: Convert to fraction form
    189,200/292,980 = 292,980/x
  3. Step 3: Cross multiply
    189,200x = 292,980 × 292,980
  4. Step 4: Simplify right side
    189,200x = 85,837,280,400
  5. Step 5: Solve for x
    x = 85,837,280,400/189,200
  6. Step 6: Final answer
    x = 453,685.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.