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Finding the Third Proportional to 122,953 and 189,074

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Solution

The third proportional to 122,953 and 189,074 is: 290,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,953 : 189,074 = 189,074 : x
  2. Step 2: Convert to fraction form
    122,953/189,074 = 189,074/x
  3. Step 3: Cross multiply
    122,953x = 189,074 × 189,074
  4. Step 4: Simplify right side
    122,953x = 35,748,977,476
  5. Step 5: Solve for x
    x = 35,748,977,476/122,953
  6. Step 6: Final answer
    x = 290,753.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.