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Finding the Third Proportional to 777,140 and 1,672,378

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Solution

The third proportional to 777,140 and 1,672,378 is: 3,598,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,140 : 1,672,378 = 1,672,378 : x
  2. Step 2: Convert to fraction form
    777,140/1,672,378 = 1,672,378/x
  3. Step 3: Cross multiply
    777,140x = 1,672,378 × 1,672,378
  4. Step 4: Simplify right side
    777,140x = 2,796,848,174,884
  5. Step 5: Solve for x
    x = 2,796,848,174,884/777,140
  6. Step 6: Final answer
    x = 3,598,898.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.