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Finding the Third Proportional to 289,746 and 448,638

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Solution

The third proportional to 289,746 and 448,638 is: 694,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,746 : 448,638 = 448,638 : x
  2. Step 2: Convert to fraction form
    289,746/448,638 = 448,638/x
  3. Step 3: Cross multiply
    289,746x = 448,638 × 448,638
  4. Step 4: Simplify right side
    289,746x = 201,276,055,044
  5. Step 5: Solve for x
    x = 201,276,055,044/289,746
  6. Step 6: Final answer
    x = 694,663.79

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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.