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Finding the Third Proportional to 428,559 and 921,614

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Solution

The third proportional to 428,559 and 921,614 is: 1,981,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,559 : 921,614 = 921,614 : x
  2. Step 2: Convert to fraction form
    428,559/921,614 = 921,614/x
  3. Step 3: Cross multiply
    428,559x = 921,614 × 921,614
  4. Step 4: Simplify right side
    428,559x = 849,372,364,996
  5. Step 5: Solve for x
    x = 849,372,364,996/428,559
  6. Step 6: Final answer
    x = 1,981,926.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.