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Finding the Third Proportional to 355,404 and 537,339

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Solution

The third proportional to 355,404 and 537,339 is: 812,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,404 : 537,339 = 537,339 : x
  2. Step 2: Convert to fraction form
    355,404/537,339 = 537,339/x
  3. Step 3: Cross multiply
    355,404x = 537,339 × 537,339
  4. Step 4: Simplify right side
    355,404x = 288,733,200,921
  5. Step 5: Solve for x
    x = 288,733,200,921/355,404
  6. Step 6: Final answer
    x = 812,408.42

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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.