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Finding the Third Proportional to 129,284 and 279,284

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Solution

The third proportional to 129,284 and 279,284 is: 603,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,284 : 279,284 = 279,284 : x
  2. Step 2: Convert to fraction form
    129,284/279,284 = 279,284/x
  3. Step 3: Cross multiply
    129,284x = 279,284 × 279,284
  4. Step 4: Simplify right side
    129,284x = 77,999,552,656
  5. Step 5: Solve for x
    x = 77,999,552,656/129,284
  6. Step 6: Final answer
    x = 603,319.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.