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Finding the Third Proportional to 305,186 and 662,912

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Solution

The third proportional to 305,186 and 662,912 is: 1,439,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,186 : 662,912 = 662,912 : x
  2. Step 2: Convert to fraction form
    305,186/662,912 = 662,912/x
  3. Step 3: Cross multiply
    305,186x = 662,912 × 662,912
  4. Step 4: Simplify right side
    305,186x = 439,452,319,744
  5. Step 5: Solve for x
    x = 439,452,319,744/305,186
  6. Step 6: Final answer
    x = 1,439,949.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.