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Finding the Third Proportional to 128,319.75 and 279,216

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Solution

The third proportional to 128,319.75 and 279,216 is: 607,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,319.75 : 279,216 = 279,216 : x
  2. Step 2: Convert to fraction form
    128,319.75/279,216 = 279,216/x
  3. Step 3: Cross multiply
    128,319.75x = 279,216 × 279,216
  4. Step 4: Simplify right side
    128,319.75x = 77,961,574,656
  5. Step 5: Solve for x
    x = 77,961,574,656/128,319.75
  6. Step 6: Final answer
    x = 607,557.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.