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Finding the Third Proportional to 305,258 and 655,660

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Solution

The third proportional to 305,258 and 655,660 is: 1,408,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,258 : 655,660 = 655,660 : x
  2. Step 2: Convert to fraction form
    305,258/655,660 = 655,660/x
  3. Step 3: Cross multiply
    305,258x = 655,660 × 655,660
  4. Step 4: Simplify right side
    305,258x = 429,890,035,600
  5. Step 5: Solve for x
    x = 429,890,035,600/305,258
  6. Step 6: Final answer
    x = 1,408,284.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.