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Finding the Third Proportional to 455,311.50 and 668,205

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Solution

The third proportional to 455,311.50 and 668,205 is: 980,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,311.50 : 668,205 = 668,205 : x
  2. Step 2: Convert to fraction form
    455,311.50/668,205 = 668,205/x
  3. Step 3: Cross multiply
    455,311.50x = 668,205 × 668,205
  4. Step 4: Simplify right side
    455,311.50x = 446,497,922,025
  5. Step 5: Solve for x
    x = 446,497,922,025/455,311.50
  6. Step 6: Final answer
    x = 980,642.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.