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Finding the Third Proportional to 371,646 and 815,472

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Solution

The third proportional to 371,646 and 815,472 is: 1,789,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,646 : 815,472 = 815,472 : x
  2. Step 2: Convert to fraction form
    371,646/815,472 = 815,472/x
  3. Step 3: Cross multiply
    371,646x = 815,472 × 815,472
  4. Step 4: Simplify right side
    371,646x = 664,994,582,784
  5. Step 5: Solve for x
    x = 664,994,582,784/371,646
  6. Step 6: Final answer
    x = 1,789,322.59

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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.