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Finding the Third Proportional to 436,484 and 673,408

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Solution

The third proportional to 436,484 and 673,408 is: 1,038,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,484 : 673,408 = 673,408 : x
  2. Step 2: Convert to fraction form
    436,484/673,408 = 673,408/x
  3. Step 3: Cross multiply
    436,484x = 673,408 × 673,408
  4. Step 4: Simplify right side
    436,484x = 453,478,334,464
  5. Step 5: Solve for x
    x = 453,478,334,464/436,484
  6. Step 6: Final answer
    x = 1,038,934.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.