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Finding the Third Proportional to 407,148 and 889,726

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Solution

The third proportional to 407,148 and 889,726 is: 1,944,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,148 : 889,726 = 889,726 : x
  2. Step 2: Convert to fraction form
    407,148/889,726 = 889,726/x
  3. Step 3: Cross multiply
    407,148x = 889,726 × 889,726
  4. Step 4: Simplify right side
    407,148x = 791,612,355,076
  5. Step 5: Solve for x
    x = 791,612,355,076/407,148
  6. Step 6: Final answer
    x = 1,944,286.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.