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Finding the Third Proportional to 360,278 and 783,978

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Solution

The third proportional to 360,278 and 783,978 is: 1,705,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,278 : 783,978 = 783,978 : x
  2. Step 2: Convert to fraction form
    360,278/783,978 = 783,978/x
  3. Step 3: Cross multiply
    360,278x = 783,978 × 783,978
  4. Step 4: Simplify right side
    360,278x = 614,621,504,484
  5. Step 5: Solve for x
    x = 614,621,504,484/360,278
  6. Step 6: Final answer
    x = 1,705,964.57

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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.