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Finding the Third Proportional to 303,567 and 660,642

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Solution

The third proportional to 303,567 and 660,642 is: 1,437,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,567 : 660,642 = 660,642 : x
  2. Step 2: Convert to fraction form
    303,567/660,642 = 660,642/x
  3. Step 3: Cross multiply
    303,567x = 660,642 × 660,642
  4. Step 4: Simplify right side
    303,567x = 436,447,852,164
  5. Step 5: Solve for x
    x = 436,447,852,164/303,567
  6. Step 6: Final answer
    x = 1,437,731.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.