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Finding the Third Proportional to 288,726 and 609,048

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Solution

The third proportional to 288,726 and 609,048 is: 1,284,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,726 : 609,048 = 609,048 : x
  2. Step 2: Convert to fraction form
    288,726/609,048 = 609,048/x
  3. Step 3: Cross multiply
    288,726x = 609,048 × 609,048
  4. Step 4: Simplify right side
    288,726x = 370,939,466,304
  5. Step 5: Solve for x
    x = 370,939,466,304/288,726
  6. Step 6: Final answer
    x = 1,284,745.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.