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Finding the Third Proportional to 448,200 and 937,952

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Solution

The third proportional to 448,200 and 937,952 is: 1,962,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,200 : 937,952 = 937,952 : x
  2. Step 2: Convert to fraction form
    448,200/937,952 = 937,952/x
  3. Step 3: Cross multiply
    448,200x = 937,952 × 937,952
  4. Step 4: Simplify right side
    448,200x = 879,753,954,304
  5. Step 5: Solve for x
    x = 879,753,954,304/448,200
  6. Step 6: Final answer
    x = 1,962,860.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.