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Finding the Third Proportional to 339,672 and 435,636

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Solution

The third proportional to 339,672 and 435,636 is: 558,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,672 : 435,636 = 435,636 : x
  2. Step 2: Convert to fraction form
    339,672/435,636 = 435,636/x
  3. Step 3: Cross multiply
    339,672x = 435,636 × 435,636
  4. Step 4: Simplify right side
    339,672x = 189,778,724,496
  5. Step 5: Solve for x
    x = 189,778,724,496/339,672
  6. Step 6: Final answer
    x = 558,711.71

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.