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Finding the Third Proportional to 305,559 and 448,977

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Solution

The third proportional to 305,559 and 448,977 is: 659,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,559 : 448,977 = 448,977 : x
  2. Step 2: Convert to fraction form
    305,559/448,977 = 448,977/x
  3. Step 3: Cross multiply
    305,559x = 448,977 × 448,977
  4. Step 4: Simplify right side
    305,559x = 201,580,346,529
  5. Step 5: Solve for x
    x = 201,580,346,529/305,559
  6. Step 6: Final answer
    x = 659,710.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.