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Finding the Third Proportional to 305,392 and 456,684

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Solution

The third proportional to 305,392 and 456,684 is: 682,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,392 : 456,684 = 456,684 : x
  2. Step 2: Convert to fraction form
    305,392/456,684 = 456,684/x
  3. Step 3: Cross multiply
    305,392x = 456,684 × 456,684
  4. Step 4: Simplify right side
    305,392x = 208,560,275,856
  5. Step 5: Solve for x
    x = 208,560,275,856/305,392
  6. Step 6: Final answer
    x = 682,926.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.