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Finding the Third Proportional to 525,328 and 803,243

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Solution

The third proportional to 525,328 and 803,243 is: 1,228,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,328 : 803,243 = 803,243 : x
  2. Step 2: Convert to fraction form
    525,328/803,243 = 803,243/x
  3. Step 3: Cross multiply
    525,328x = 803,243 × 803,243
  4. Step 4: Simplify right side
    525,328x = 645,199,317,049
  5. Step 5: Solve for x
    x = 645,199,317,049/525,328
  6. Step 6: Final answer
    x = 1,228,183.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.