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Finding the Third Proportional to 238,303 and 351,909

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Solution

The third proportional to 238,303 and 351,909 is: 519,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,303 : 351,909 = 351,909 : x
  2. Step 2: Convert to fraction form
    238,303/351,909 = 351,909/x
  3. Step 3: Cross multiply
    238,303x = 351,909 × 351,909
  4. Step 4: Simplify right side
    238,303x = 123,839,944,281
  5. Step 5: Solve for x
    x = 123,839,944,281/238,303
  6. Step 6: Final answer
    x = 519,674.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.