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Finding the Third Proportional to 208,506.75 and 455,247

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Solution

The third proportional to 208,506.75 and 455,247 is: 993,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,506.75 : 455,247 = 455,247 : x
  2. Step 2: Convert to fraction form
    208,506.75/455,247 = 455,247/x
  3. Step 3: Cross multiply
    208,506.75x = 455,247 × 455,247
  4. Step 4: Simplify right side
    208,506.75x = 207,249,831,009
  5. Step 5: Solve for x
    x = 207,249,831,009/208,506.75
  6. Step 6: Final answer
    x = 993,971.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.