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Finding the Third Proportional to 355,775 and 777,915

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Solution

The third proportional to 355,775 and 777,915 is: 1,700,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,775 : 777,915 = 777,915 : x
  2. Step 2: Convert to fraction form
    355,775/777,915 = 777,915/x
  3. Step 3: Cross multiply
    355,775x = 777,915 × 777,915
  4. Step 4: Simplify right side
    355,775x = 605,151,747,225
  5. Step 5: Solve for x
    x = 605,151,747,225/355,775
  6. Step 6: Final answer
    x = 1,700,939.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.