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Finding the Third Proportional to 290,266 and 448,344

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Solution

The third proportional to 290,266 and 448,344 is: 692,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,266 : 448,344 = 448,344 : x
  2. Step 2: Convert to fraction form
    290,266/448,344 = 448,344/x
  3. Step 3: Cross multiply
    290,266x = 448,344 × 448,344
  4. Step 4: Simplify right side
    290,266x = 201,012,342,336
  5. Step 5: Solve for x
    x = 201,012,342,336/290,266
  6. Step 6: Final answer
    x = 692,510.81

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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.