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Finding the Third Proportional to 448,768 and 960,596

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Solution

The third proportional to 448,768 and 960,596 is: 2,056,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,768 : 960,596 = 960,596 : x
  2. Step 2: Convert to fraction form
    448,768/960,596 = 960,596/x
  3. Step 3: Cross multiply
    448,768x = 960,596 × 960,596
  4. Step 4: Simplify right side
    448,768x = 922,744,675,216
  5. Step 5: Solve for x
    x = 922,744,675,216/448,768
  6. Step 6: Final answer
    x = 2,056,173.07

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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.