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Finding the Third Proportional to 189,057.38 and 292,880.81

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Solution

The third proportional to 189,057.38 and 292,880.81 is: 453,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,057.38 : 292,880.81 = 292,880.81 : x
  2. Step 2: Convert to fraction form
    189,057.38/292,880.81 = 292,880.81/x
  3. Step 3: Cross multiply
    189,057.38x = 292,880.81 × 292,880.81
  4. Step 4: Simplify right side
    189,057.38x = 85,779,170,330.66
  5. Step 5: Solve for x
    x = 85,779,170,330.66/189,057.38
  6. Step 6: Final answer
    x = 453,720.31

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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.