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Finding the Third Proportional to 377,272 and 810,726

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Solution

The third proportional to 377,272 and 810,726 is: 1,742,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,272 : 810,726 = 810,726 : x
  2. Step 2: Convert to fraction form
    377,272/810,726 = 810,726/x
  3. Step 3: Cross multiply
    377,272x = 810,726 × 810,726
  4. Step 4: Simplify right side
    377,272x = 657,276,647,076
  5. Step 5: Solve for x
    x = 657,276,647,076/377,272
  6. Step 6: Final answer
    x = 1,742,182.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.