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Finding the Third Proportional to 428,390 and 930,525

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Solution

The third proportional to 428,390 and 930,525 is: 2,021,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,390 : 930,525 = 930,525 : x
  2. Step 2: Convert to fraction form
    428,390/930,525 = 930,525/x
  3. Step 3: Cross multiply
    428,390x = 930,525 × 930,525
  4. Step 4: Simplify right side
    428,390x = 865,876,775,625
  5. Step 5: Solve for x
    x = 865,876,775,625/428,390
  6. Step 6: Final answer
    x = 2,021,234.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.