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Finding the Third Proportional to 229,808 and 343,328

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Solution

The third proportional to 229,808 and 343,328 is: 512,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,808 : 343,328 = 343,328 : x
  2. Step 2: Convert to fraction form
    229,808/343,328 = 343,328/x
  3. Step 3: Cross multiply
    229,808x = 343,328 × 343,328
  4. Step 4: Simplify right side
    229,808x = 117,874,115,584
  5. Step 5: Solve for x
    x = 117,874,115,584/229,808
  6. Step 6: Final answer
    x = 512,924.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.