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Finding the Third Proportional to 189,074 and 292,728

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Solution

The third proportional to 189,074 and 292,728 is: 453,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,074 : 292,728 = 292,728 : x
  2. Step 2: Convert to fraction form
    189,074/292,728 = 292,728/x
  3. Step 3: Cross multiply
    189,074x = 292,728 × 292,728
  4. Step 4: Simplify right side
    189,074x = 85,689,681,984
  5. Step 5: Solve for x
    x = 85,689,681,984/189,074
  6. Step 6: Final answer
    x = 453,207.11

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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.