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Finding the Third Proportional to 290,263 and 448,329

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Solution

The third proportional to 290,263 and 448,329 is: 692,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,263 : 448,329 = 448,329 : x
  2. Step 2: Convert to fraction form
    290,263/448,329 = 448,329/x
  3. Step 3: Cross multiply
    290,263x = 448,329 × 448,329
  4. Step 4: Simplify right side
    290,263x = 200,998,892,241
  5. Step 5: Solve for x
    x = 200,998,892,241/290,263
  6. Step 6: Final answer
    x = 692,471.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.