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Finding the Third Proportional to 342,780 and 522,207

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Solution

The third proportional to 342,780 and 522,207 is: 795,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,780 : 522,207 = 522,207 : x
  2. Step 2: Convert to fraction form
    342,780/522,207 = 522,207/x
  3. Step 3: Cross multiply
    342,780x = 522,207 × 522,207
  4. Step 4: Simplify right side
    342,780x = 272,700,150,849
  5. Step 5: Solve for x
    x = 272,700,150,849/342,780
  6. Step 6: Final answer
    x = 795,554.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.