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Finding the Third Proportional to 368,144 and 805,216

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Solution

The third proportional to 368,144 and 805,216 is: 1,761,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,144 : 805,216 = 805,216 : x
  2. Step 2: Convert to fraction form
    368,144/805,216 = 805,216/x
  3. Step 3: Cross multiply
    368,144x = 805,216 × 805,216
  4. Step 4: Simplify right side
    368,144x = 648,372,806,656
  5. Step 5: Solve for x
    x = 648,372,806,656/368,144
  6. Step 6: Final answer
    x = 1,761,193.46

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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.