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Finding the Third Proportional to 228,358.50 and 319,258

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Solution

The third proportional to 228,358.50 and 319,258 is: 446,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,358.50 : 319,258 = 319,258 : x
  2. Step 2: Convert to fraction form
    228,358.50/319,258 = 319,258/x
  3. Step 3: Cross multiply
    228,358.50x = 319,258 × 319,258
  4. Step 4: Simplify right side
    228,358.50x = 101,925,670,564
  5. Step 5: Solve for x
    x = 101,925,670,564/228,358.50
  6. Step 6: Final answer
    x = 446,340.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.