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Finding the Third Proportional to 230,276 and 355,258

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Solution

The third proportional to 230,276 and 355,258 is: 548,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,276 : 355,258 = 355,258 : x
  2. Step 2: Convert to fraction form
    230,276/355,258 = 355,258/x
  3. Step 3: Cross multiply
    230,276x = 355,258 × 355,258
  4. Step 4: Simplify right side
    230,276x = 126,208,246,564
  5. Step 5: Solve for x
    x = 126,208,246,564/230,276
  6. Step 6: Final answer
    x = 548,073.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.