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Finding the Third Proportional to 289,398 and 448,056

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Solution

The third proportional to 289,398 and 448,056 is: 693,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,398 : 448,056 = 448,056 : x
  2. Step 2: Convert to fraction form
    289,398/448,056 = 448,056/x
  3. Step 3: Cross multiply
    289,398x = 448,056 × 448,056
  4. Step 4: Simplify right side
    289,398x = 200,754,179,136
  5. Step 5: Solve for x
    x = 200,754,179,136/289,398
  6. Step 6: Final answer
    x = 693,695.81

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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.