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Finding the Third Proportional to 379,010 and 520,707

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Solution

The third proportional to 379,010 and 520,707 is: 715,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,010 : 520,707 = 520,707 : x
  2. Step 2: Convert to fraction form
    379,010/520,707 = 520,707/x
  3. Step 3: Cross multiply
    379,010x = 520,707 × 520,707
  4. Step 4: Simplify right side
    379,010x = 271,135,779,849
  5. Step 5: Solve for x
    x = 271,135,779,849/379,010
  6. Step 6: Final answer
    x = 715,378.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.