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Finding the Third Proportional to 448,467 and 689,307

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Solution

The third proportional to 448,467 and 689,307 is: 1,059,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,467 : 689,307 = 689,307 : x
  2. Step 2: Convert to fraction form
    448,467/689,307 = 689,307/x
  3. Step 3: Cross multiply
    448,467x = 689,307 × 689,307
  4. Step 4: Simplify right side
    448,467x = 475,144,140,249
  5. Step 5: Solve for x
    x = 475,144,140,249/448,467
  6. Step 6: Final answer
    x = 1,059,485.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.