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Finding the Third Proportional to 290,439 and 467,902.50

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Solution

The third proportional to 290,439 and 467,902.50 is: 753,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,439 : 467,902.50 = 467,902.50 : x
  2. Step 2: Convert to fraction form
    290,439/467,902.50 = 467,902.50/x
  3. Step 3: Cross multiply
    290,439x = 467,902.50 × 467,902.50
  4. Step 4: Simplify right side
    290,439x = 218,932,749,506.25
  5. Step 5: Solve for x
    x = 218,932,749,506.25/290,439
  6. Step 6: Final answer
    x = 753,799.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.