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Finding the Third Proportional to 334,392 and 490,896

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Solution

The third proportional to 334,392 and 490,896 is: 720,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,392 : 490,896 = 490,896 : x
  2. Step 2: Convert to fraction form
    334,392/490,896 = 490,896/x
  3. Step 3: Cross multiply
    334,392x = 490,896 × 490,896
  4. Step 4: Simplify right side
    334,392x = 240,978,882,816
  5. Step 5: Solve for x
    x = 240,978,882,816/334,392
  6. Step 6: Final answer
    x = 720,647.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.