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Finding the Third Proportional to 448,128 and 694,224

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Solution

The third proportional to 448,128 and 694,224 is: 1,075,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,128 : 694,224 = 694,224 : x
  2. Step 2: Convert to fraction form
    448,128/694,224 = 694,224/x
  3. Step 3: Cross multiply
    448,128x = 694,224 × 694,224
  4. Step 4: Simplify right side
    448,128x = 481,946,962,176
  5. Step 5: Solve for x
    x = 481,946,962,176/448,128
  6. Step 6: Final answer
    x = 1,075,467.19

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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.