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Finding the Third Proportional to 284,560 and 428,717

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Solution

The third proportional to 284,560 and 428,717 is: 645,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,560 : 428,717 = 428,717 : x
  2. Step 2: Convert to fraction form
    284,560/428,717 = 428,717/x
  3. Step 3: Cross multiply
    284,560x = 428,717 × 428,717
  4. Step 4: Simplify right side
    284,560x = 183,798,266,089
  5. Step 5: Solve for x
    x = 183,798,266,089/284,560
  6. Step 6: Final answer
    x = 645,903.38

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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.