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Finding the Third Proportional to 128,938.50 and 283,284

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Solution

The third proportional to 128,938.50 and 283,284 is: 622,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,938.50 : 283,284 = 283,284 : x
  2. Step 2: Convert to fraction form
    128,938.50/283,284 = 283,284/x
  3. Step 3: Cross multiply
    128,938.50x = 283,284 × 283,284
  4. Step 4: Simplify right side
    128,938.50x = 80,249,824,656
  5. Step 5: Solve for x
    x = 80,249,824,656/128,938.50
  6. Step 6: Final answer
    x = 622,388.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.