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Finding the Third Proportional to 128,768 and 189,298

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Solution

The third proportional to 128,768 and 189,298 is: 278,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,768 : 189,298 = 189,298 : x
  2. Step 2: Convert to fraction form
    128,768/189,298 = 189,298/x
  3. Step 3: Cross multiply
    128,768x = 189,298 × 189,298
  4. Step 4: Simplify right side
    128,768x = 35,833,732,804
  5. Step 5: Solve for x
    x = 35,833,732,804/128,768
  6. Step 6: Final answer
    x = 278,281.35

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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.