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Finding the Third Proportional to 290,267 and 448,334

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Solution

The third proportional to 290,267 and 448,334 is: 692,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,267 : 448,334 = 448,334 : x
  2. Step 2: Convert to fraction form
    290,267/448,334 = 448,334/x
  3. Step 3: Cross multiply
    290,267x = 448,334 × 448,334
  4. Step 4: Simplify right side
    290,267x = 201,003,375,556
  5. Step 5: Solve for x
    x = 201,003,375,556/290,267
  6. Step 6: Final answer
    x = 692,477.53

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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.