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Finding the Third Proportional to 284,790 and 606,390

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Solution

The third proportional to 284,790 and 606,390 is: 1,291,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,790 : 606,390 = 606,390 : x
  2. Step 2: Convert to fraction form
    284,790/606,390 = 606,390/x
  3. Step 3: Cross multiply
    284,790x = 606,390 × 606,390
  4. Step 4: Simplify right side
    284,790x = 367,708,832,100
  5. Step 5: Solve for x
    x = 367,708,832,100/284,790
  6. Step 6: Final answer
    x = 1,291,157.81

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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.