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Finding the Third Proportional to 459,380 and 673,491

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Solution

The third proportional to 459,380 and 673,491 is: 987,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,380 : 673,491 = 673,491 : x
  2. Step 2: Convert to fraction form
    459,380/673,491 = 673,491/x
  3. Step 3: Cross multiply
    459,380x = 673,491 × 673,491
  4. Step 4: Simplify right side
    459,380x = 453,590,127,081
  5. Step 5: Solve for x
    x = 453,590,127,081/459,380
  6. Step 6: Final answer
    x = 987,396.33

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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.