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Finding the Third Proportional to 263,317.50 and 621,216

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Solution

The third proportional to 263,317.50 and 621,216 is: 1,465,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,317.50 : 621,216 = 621,216 : x
  2. Step 2: Convert to fraction form
    263,317.50/621,216 = 621,216/x
  3. Step 3: Cross multiply
    263,317.50x = 621,216 × 621,216
  4. Step 4: Simplify right side
    263,317.50x = 385,909,318,656
  5. Step 5: Solve for x
    x = 385,909,318,656/263,317.50
  6. Step 6: Final answer
    x = 1,465,566.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.