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Finding the Third Proportional to 282,258 and 437,211

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Solution

The third proportional to 282,258 and 437,211 is: 677,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,258 : 437,211 = 437,211 : x
  2. Step 2: Convert to fraction form
    282,258/437,211 = 437,211/x
  3. Step 3: Cross multiply
    282,258x = 437,211 × 437,211
  4. Step 4: Simplify right side
    282,258x = 191,153,458,521
  5. Step 5: Solve for x
    x = 191,153,458,521/282,258
  6. Step 6: Final answer
    x = 677,229.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.