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Finding the Third Proportional to 448,892 and 960,840

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Solution

The third proportional to 448,892 and 960,840 is: 2,056,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,892 : 960,840 = 960,840 : x
  2. Step 2: Convert to fraction form
    448,892/960,840 = 960,840/x
  3. Step 3: Cross multiply
    448,892x = 960,840 × 960,840
  4. Step 4: Simplify right side
    448,892x = 923,213,505,600
  5. Step 5: Solve for x
    x = 923,213,505,600/448,892
  6. Step 6: Final answer
    x = 2,056,649.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.