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Finding the Third Proportional to 284,405 and 428,412

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Solution

The third proportional to 284,405 and 428,412 is: 645,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,405 : 428,412 = 428,412 : x
  2. Step 2: Convert to fraction form
    284,405/428,412 = 428,412/x
  3. Step 3: Cross multiply
    284,405x = 428,412 × 428,412
  4. Step 4: Simplify right side
    284,405x = 183,536,841,744
  5. Step 5: Solve for x
    x = 183,536,841,744/284,405
  6. Step 6: Final answer
    x = 645,336.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.