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Finding the Third Proportional to 290,228 and 448,476

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Solution

The third proportional to 290,228 and 448,476 is: 693,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,228 : 448,476 = 448,476 : x
  2. Step 2: Convert to fraction form
    290,228/448,476 = 448,476/x
  3. Step 3: Cross multiply
    290,228x = 448,476 × 448,476
  4. Step 4: Simplify right side
    290,228x = 201,130,722,576
  5. Step 5: Solve for x
    x = 201,130,722,576/290,228
  6. Step 6: Final answer
    x = 693,009.37

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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.