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Finding the Third Proportional to 120,366 and 256,284

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Solution

The third proportional to 120,366 and 256,284 is: 545,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,366 : 256,284 = 256,284 : x
  2. Step 2: Convert to fraction form
    120,366/256,284 = 256,284/x
  3. Step 3: Cross multiply
    120,366x = 256,284 × 256,284
  4. Step 4: Simplify right side
    120,366x = 65,681,488,656
  5. Step 5: Solve for x
    x = 65,681,488,656/120,366
  6. Step 6: Final answer
    x = 545,681.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.