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Finding the Third Proportional to 208,521 and 455,268.75

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Solution

The third proportional to 208,521 and 455,268.75 is: 993,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521 : 455,268.75 = 455,268.75 : x
  2. Step 2: Convert to fraction form
    208,521/455,268.75 = 455,268.75/x
  3. Step 3: Cross multiply
    208,521x = 455,268.75 × 455,268.75
  4. Step 4: Simplify right side
    208,521x = 207,269,634,726.56
  5. Step 5: Solve for x
    x = 207,269,634,726.56/208,521
  6. Step 6: Final answer
    x = 993,998.85

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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.