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Finding the Third Proportional to 213,907.50 and 455,343

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Solution

The third proportional to 213,907.50 and 455,343 is: 969,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,907.50 : 455,343 = 455,343 : x
  2. Step 2: Convert to fraction form
    213,907.50/455,343 = 455,343/x
  3. Step 3: Cross multiply
    213,907.50x = 455,343 × 455,343
  4. Step 4: Simplify right side
    213,907.50x = 207,337,247,649
  5. Step 5: Solve for x
    x = 207,337,247,649/213,907.50
  6. Step 6: Final answer
    x = 969,284.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.