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Finding the Third Proportional to 344,922 and 515,258

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Solution

The third proportional to 344,922 and 515,258 is: 769,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,922 : 515,258 = 515,258 : x
  2. Step 2: Convert to fraction form
    344,922/515,258 = 515,258/x
  3. Step 3: Cross multiply
    344,922x = 515,258 × 515,258
  4. Step 4: Simplify right side
    344,922x = 265,490,806,564
  5. Step 5: Solve for x
    x = 265,490,806,564/344,922
  6. Step 6: Final answer
    x = 769,712.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.