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Finding the Third Proportional to 448,660 and 689,616

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Solution

The third proportional to 448,660 and 689,616 is: 1,059,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,660 : 689,616 = 689,616 : x
  2. Step 2: Convert to fraction form
    448,660/689,616 = 689,616/x
  3. Step 3: Cross multiply
    448,660x = 689,616 × 689,616
  4. Step 4: Simplify right side
    448,660x = 475,570,227,456
  5. Step 5: Solve for x
    x = 475,570,227,456/448,660
  6. Step 6: Final answer
    x = 1,059,979.11

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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.