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Finding the Third Proportional to 421,028 and 803,256

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Solution

The third proportional to 421,028 and 803,256 is: 1,532,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,028 : 803,256 = 803,256 : x
  2. Step 2: Convert to fraction form
    421,028/803,256 = 803,256/x
  3. Step 3: Cross multiply
    421,028x = 803,256 × 803,256
  4. Step 4: Simplify right side
    421,028x = 645,220,201,536
  5. Step 5: Solve for x
    x = 645,220,201,536/421,028
  6. Step 6: Final answer
    x = 1,532,487.63

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.