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Finding the Third Proportional to 284,715 and 428,935

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Solution

The third proportional to 284,715 and 428,935 is: 646,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,715 : 428,935 = 428,935 : x
  2. Step 2: Convert to fraction form
    284,715/428,935 = 428,935/x
  3. Step 3: Cross multiply
    284,715x = 428,935 × 428,935
  4. Step 4: Simplify right side
    284,715x = 183,985,234,225
  5. Step 5: Solve for x
    x = 183,985,234,225/284,715
  6. Step 6: Final answer
    x = 646,208.43

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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.