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Finding the Third Proportional to 489,251.50 and 992,258

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Solution

The third proportional to 489,251.50 and 992,258 is: 2,012,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,251.50 : 992,258 = 992,258 : x
  2. Step 2: Convert to fraction form
    489,251.50/992,258 = 992,258/x
  3. Step 3: Cross multiply
    489,251.50x = 992,258 × 992,258
  4. Step 4: Simplify right side
    489,251.50x = 984,575,938,564
  5. Step 5: Solve for x
    x = 984,575,938,564/489,251.50
  6. Step 6: Final answer
    x = 2,012,412.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.