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Finding the Third Proportional to 305,599.50 and 672,117

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Solution

The third proportional to 305,599.50 and 672,117 is: 1,478,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,599.50 : 672,117 = 672,117 : x
  2. Step 2: Convert to fraction form
    305,599.50/672,117 = 672,117/x
  3. Step 3: Cross multiply
    305,599.50x = 672,117 × 672,117
  4. Step 4: Simplify right side
    305,599.50x = 451,741,261,689
  5. Step 5: Solve for x
    x = 451,741,261,689/305,599.50
  6. Step 6: Final answer
    x = 1,478,213.35

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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.