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Finding the Third Proportional to 305,562 and 672,036

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Solution

The third proportional to 305,562 and 672,036 is: 1,478,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,562 : 672,036 = 672,036 : x
  2. Step 2: Convert to fraction form
    305,562/672,036 = 672,036/x
  3. Step 3: Cross multiply
    305,562x = 672,036 × 672,036
  4. Step 4: Simplify right side
    305,562x = 451,632,385,296
  5. Step 5: Solve for x
    x = 451,632,385,296/305,562
  6. Step 6: Final answer
    x = 1,478,038.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.