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Finding the Third Proportional to 128,565 and 279,054

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Solution

The third proportional to 128,565 and 279,054 is: 605,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,565 : 279,054 = 279,054 : x
  2. Step 2: Convert to fraction form
    128,565/279,054 = 279,054/x
  3. Step 3: Cross multiply
    128,565x = 279,054 × 279,054
  4. Step 4: Simplify right side
    128,565x = 77,871,134,916
  5. Step 5: Solve for x
    x = 77,871,134,916/128,565
  6. Step 6: Final answer
    x = 605,694.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.