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Finding the Third Proportional to 299,121 and 640,282

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Solution

The third proportional to 299,121 and 640,282 is: 1,370,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,121 : 640,282 = 640,282 : x
  2. Step 2: Convert to fraction form
    299,121/640,282 = 640,282/x
  3. Step 3: Cross multiply
    299,121x = 640,282 × 640,282
  4. Step 4: Simplify right side
    299,121x = 409,961,039,524
  5. Step 5: Solve for x
    x = 409,961,039,524/299,121
  6. Step 6: Final answer
    x = 1,370,552.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.