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Finding the Third Proportional to 777,006 and 1,200,015

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Solution

The third proportional to 777,006 and 1,200,015 is: 1,853,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,006 : 1,200,015 = 1,200,015 : x
  2. Step 2: Convert to fraction form
    777,006/1,200,015 = 1,200,015/x
  3. Step 3: Cross multiply
    777,006x = 1,200,015 × 1,200,015
  4. Step 4: Simplify right side
    777,006x = 1,440,036,000,225
  5. Step 5: Solve for x
    x = 1,440,036,000,225/777,006
  6. Step 6: Final answer
    x = 1,853,313.87

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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.