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Finding the Third Proportional to 333,378 and 718,880

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Solution

The third proportional to 333,378 and 718,880 is: 1,550,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,378 : 718,880 = 718,880 : x
  2. Step 2: Convert to fraction form
    333,378/718,880 = 718,880/x
  3. Step 3: Cross multiply
    333,378x = 718,880 × 718,880
  4. Step 4: Simplify right side
    333,378x = 516,788,454,400
  5. Step 5: Solve for x
    x = 516,788,454,400/333,378
  6. Step 6: Final answer
    x = 1,550,157.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.