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Finding the Third Proportional to 611,211 and 1,344,258

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Solution

The third proportional to 611,211 and 1,344,258 is: 2,956,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,211 : 1,344,258 = 1,344,258 : x
  2. Step 2: Convert to fraction form
    611,211/1,344,258 = 1,344,258/x
  3. Step 3: Cross multiply
    611,211x = 1,344,258 × 1,344,258
  4. Step 4: Simplify right side
    611,211x = 1,807,029,570,564
  5. Step 5: Solve for x
    x = 1,807,029,570,564/611,211
  6. Step 6: Final answer
    x = 2,956,474.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.