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Finding the Third Proportional to 334,490 and 476,821

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Solution

The third proportional to 334,490 and 476,821 is: 679,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,490 : 476,821 = 476,821 : x
  2. Step 2: Convert to fraction form
    334,490/476,821 = 476,821/x
  3. Step 3: Cross multiply
    334,490x = 476,821 × 476,821
  4. Step 4: Simplify right side
    334,490x = 227,358,266,041
  5. Step 5: Solve for x
    x = 227,358,266,041/334,490
  6. Step 6: Final answer
    x = 679,716.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.