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Finding the Third Proportional to 284,560 and 658,790

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Solution

The third proportional to 284,560 and 658,790 is: 1,525,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,560 : 658,790 = 658,790 : x
  2. Step 2: Convert to fraction form
    284,560/658,790 = 658,790/x
  3. Step 3: Cross multiply
    284,560x = 658,790 × 658,790
  4. Step 4: Simplify right side
    284,560x = 434,004,264,100
  5. Step 5: Solve for x
    x = 434,004,264,100/284,560
  6. Step 6: Final answer
    x = 1,525,176.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.