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Finding the Third Proportional to 122,742 and 189,540

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Solution

The third proportional to 122,742 and 189,540 is: 292,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,742 : 189,540 = 189,540 : x
  2. Step 2: Convert to fraction form
    122,742/189,540 = 189,540/x
  3. Step 3: Cross multiply
    122,742x = 189,540 × 189,540
  4. Step 4: Simplify right side
    122,742x = 35,925,411,600
  5. Step 5: Solve for x
    x = 35,925,411,600/122,742
  6. Step 6: Final answer
    x = 292,690.45

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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.