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Finding the Third Proportional to 309,994 and 438,762

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Solution

The third proportional to 309,994 and 438,762 is: 621,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,994 : 438,762 = 438,762 : x
  2. Step 2: Convert to fraction form
    309,994/438,762 = 438,762/x
  3. Step 3: Cross multiply
    309,994x = 438,762 × 438,762
  4. Step 4: Simplify right side
    309,994x = 192,512,092,644
  5. Step 5: Solve for x
    x = 192,512,092,644/309,994
  6. Step 6: Final answer
    x = 621,018.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.