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Finding the Third Proportional to 448,788 and 960,619

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Solution

The third proportional to 448,788 and 960,619 is: 2,056,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,788 : 960,619 = 960,619 : x
  2. Step 2: Convert to fraction form
    448,788/960,619 = 960,619/x
  3. Step 3: Cross multiply
    448,788x = 960,619 × 960,619
  4. Step 4: Simplify right side
    448,788x = 922,788,863,161
  5. Step 5: Solve for x
    x = 922,788,863,161/448,788
  6. Step 6: Final answer
    x = 2,056,179.90

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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.