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Finding the Third Proportional to 290,880.50 and 450,144.75

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Solution

The third proportional to 290,880.50 and 450,144.75 is: 696,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,880.50 : 450,144.75 = 450,144.75 : x
  2. Step 2: Convert to fraction form
    290,880.50/450,144.75 = 450,144.75/x
  3. Step 3: Cross multiply
    290,880.50x = 450,144.75 × 450,144.75
  4. Step 4: Simplify right side
    290,880.50x = 202,630,295,952.56
  5. Step 5: Solve for x
    x = 202,630,295,952.56/290,880.50
  6. Step 6: Final answer
    x = 696,610.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.