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Finding the Third Proportional to 290,095.03 and 443,480.63

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Solution

The third proportional to 290,095.03 and 443,480.63 is: 677,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,095.03 : 443,480.63 = 443,480.63 : x
  2. Step 2: Convert to fraction form
    290,095.03/443,480.63 = 443,480.63/x
  3. Step 3: Cross multiply
    290,095.03x = 443,480.63 × 443,480.63
  4. Step 4: Simplify right side
    290,095.03x = 196,675,064,750.39
  5. Step 5: Solve for x
    x = 196,675,064,750.39/290,095.03
  6. Step 6: Final answer
    x = 677,967.71

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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.