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Finding the Third Proportional to 305,984 and 662,800

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Solution

The third proportional to 305,984 and 662,800 is: 1,435,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,984 : 662,800 = 662,800 : x
  2. Step 2: Convert to fraction form
    305,984/662,800 = 662,800/x
  3. Step 3: Cross multiply
    305,984x = 662,800 × 662,800
  4. Step 4: Simplify right side
    305,984x = 439,303,840,000
  5. Step 5: Solve for x
    x = 439,303,840,000/305,984
  6. Step 6: Final answer
    x = 1,435,708.53

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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.