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Finding the Third Proportional to 229,757 and 343,258

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Solution

The third proportional to 229,757 and 343,258 is: 512,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,757 : 343,258 = 343,258 : x
  2. Step 2: Convert to fraction form
    229,757/343,258 = 343,258/x
  3. Step 3: Cross multiply
    229,757x = 343,258 × 343,258
  4. Step 4: Simplify right side
    229,757x = 117,826,054,564
  5. Step 5: Solve for x
    x = 117,826,054,564/229,757
  6. Step 6: Final answer
    x = 512,829.01

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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.