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Finding the Third Proportional to 262,514 and 393,687

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Solution

The third proportional to 262,514 and 393,687 is: 590,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,514 : 393,687 = 393,687 : x
  2. Step 2: Convert to fraction form
    262,514/393,687 = 393,687/x
  3. Step 3: Cross multiply
    262,514x = 393,687 × 393,687
  4. Step 4: Simplify right side
    262,514x = 154,989,453,969
  5. Step 5: Solve for x
    x = 154,989,453,969/262,514
  6. Step 6: Final answer
    x = 590,404.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.