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Finding the Third Proportional to 290,242 and 448,304

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Solution

The third proportional to 290,242 and 448,304 is: 692,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,242 : 448,304 = 448,304 : x
  2. Step 2: Convert to fraction form
    290,242/448,304 = 448,304/x
  3. Step 3: Cross multiply
    290,242x = 448,304 × 448,304
  4. Step 4: Simplify right side
    290,242x = 200,976,476,416
  5. Step 5: Solve for x
    x = 200,976,476,416/290,242
  6. Step 6: Final answer
    x = 692,444.50

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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.