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Finding the Third Proportional to 149,454 and 317,133

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Solution

The third proportional to 149,454 and 317,133 is: 672,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,454 : 317,133 = 317,133 : x
  2. Step 2: Convert to fraction form
    149,454/317,133 = 317,133/x
  3. Step 3: Cross multiply
    149,454x = 317,133 × 317,133
  4. Step 4: Simplify right side
    149,454x = 100,573,339,689
  5. Step 5: Solve for x
    x = 100,573,339,689/149,454
  6. Step 6: Final answer
    x = 672,938.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.