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Finding the Third Proportional to 290,021 and 448,184

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Solution

The third proportional to 290,021 and 448,184 is: 692,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,021 : 448,184 = 448,184 : x
  2. Step 2: Convert to fraction form
    290,021/448,184 = 448,184/x
  3. Step 3: Cross multiply
    290,021x = 448,184 × 448,184
  4. Step 4: Simplify right side
    290,021x = 200,868,897,856
  5. Step 5: Solve for x
    x = 200,868,897,856/290,021
  6. Step 6: Final answer
    x = 692,601.22

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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.