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Finding the Third Proportional to 128,334 and 309,168

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Solution

The third proportional to 128,334 and 309,168 is: 744,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,334 : 309,168 = 309,168 : x
  2. Step 2: Convert to fraction form
    128,334/309,168 = 309,168/x
  3. Step 3: Cross multiply
    128,334x = 309,168 × 309,168
  4. Step 4: Simplify right side
    128,334x = 95,584,852,224
  5. Step 5: Solve for x
    x = 95,584,852,224/128,334
  6. Step 6: Final answer
    x = 744,813.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.