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Finding the Third Proportional to 254,258 and 345,311

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Solution

The third proportional to 254,258 and 345,311 is: 468,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,258 : 345,311 = 345,311 : x
  2. Step 2: Convert to fraction form
    254,258/345,311 = 345,311/x
  3. Step 3: Cross multiply
    254,258x = 345,311 × 345,311
  4. Step 4: Simplify right side
    254,258x = 119,239,686,721
  5. Step 5: Solve for x
    x = 119,239,686,721/254,258
  6. Step 6: Final answer
    x = 468,971.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.