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Finding the Third Proportional to 128,814 and 189,492

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Solution

The third proportional to 128,814 and 189,492 is: 278,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,814 : 189,492 = 189,492 : x
  2. Step 2: Convert to fraction form
    128,814/189,492 = 189,492/x
  3. Step 3: Cross multiply
    128,814x = 189,492 × 189,492
  4. Step 4: Simplify right side
    128,814x = 35,907,218,064
  5. Step 5: Solve for x
    x = 35,907,218,064/128,814
  6. Step 6: Final answer
    x = 278,752.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.