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Finding the Third Proportional to 128,792 and 189,463

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Solution

The third proportional to 128,792 and 189,463 is: 278,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,792 : 189,463 = 189,463 : x
  2. Step 2: Convert to fraction form
    128,792/189,463 = 189,463/x
  3. Step 3: Cross multiply
    128,792x = 189,463 × 189,463
  4. Step 4: Simplify right side
    128,792x = 35,896,228,369
  5. Step 5: Solve for x
    x = 35,896,228,369/128,792
  6. Step 6: Final answer
    x = 278,714.74

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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.