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Finding the Third Proportional to 91,385.25 and 211,539.75

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Solution

The third proportional to 91,385.25 and 211,539.75 is: 489,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,385.25 : 211,539.75 = 211,539.75 : x
  2. Step 2: Convert to fraction form
    91,385.25/211,539.75 = 211,539.75/x
  3. Step 3: Cross multiply
    91,385.25x = 211,539.75 × 211,539.75
  4. Step 4: Simplify right side
    91,385.25x = 44,749,065,830.06
  5. Step 5: Solve for x
    x = 44,749,065,830.06/91,385.25
  6. Step 6: Final answer
    x = 489,674.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.