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Finding the Third Proportional to 289,399 and 448,057

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Solution

The third proportional to 289,399 and 448,057 is: 693,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,399 : 448,057 = 448,057 : x
  2. Step 2: Convert to fraction form
    289,399/448,057 = 448,057/x
  3. Step 3: Cross multiply
    289,399x = 448,057 × 448,057
  4. Step 4: Simplify right side
    289,399x = 200,755,075,249
  5. Step 5: Solve for x
    x = 200,755,075,249/289,399
  6. Step 6: Final answer
    x = 693,696.51

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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.