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Finding the Third Proportional to 290,092.64 and 443,476.90

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Solution

The third proportional to 290,092.64 and 443,476.90 is: 677,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,092.64 : 443,476.90 = 443,476.90 : x
  2. Step 2: Convert to fraction form
    290,092.64/443,476.90 = 443,476.90/x
  3. Step 3: Cross multiply
    290,092.64x = 443,476.90 × 443,476.90
  4. Step 4: Simplify right side
    290,092.64x = 196,671,759,447.75
  5. Step 5: Solve for x
    x = 196,671,759,447.75/290,092.64
  6. Step 6: Final answer
    x = 677,961.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.