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Finding the Third Proportional to 301,780.69 and 628,347.38

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Solution

The third proportional to 301,780.69 and 628,347.38 is: 1,308,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,780.69 : 628,347.38 = 628,347.38 : x
  2. Step 2: Convert to fraction form
    301,780.69/628,347.38 = 628,347.38/x
  3. Step 3: Cross multiply
    301,780.69x = 628,347.38 × 628,347.38
  4. Step 4: Simplify right side
    301,780.69x = 394,820,423,669.39
  5. Step 5: Solve for x
    x = 394,820,423,669.39/301,780.69
  6. Step 6: Final answer
    x = 1,308,302.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.