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Finding the Third Proportional to 448,702 and 948,056

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Solution

The third proportional to 448,702 and 948,056 is: 2,003,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,702 : 948,056 = 948,056 : x
  2. Step 2: Convert to fraction form
    448,702/948,056 = 948,056/x
  3. Step 3: Cross multiply
    448,702x = 948,056 × 948,056
  4. Step 4: Simplify right side
    448,702x = 898,810,179,136
  5. Step 5: Solve for x
    x = 898,810,179,136/448,702
  6. Step 6: Final answer
    x = 2,003,133.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.