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Finding the Third Proportional to 1,450,946 and 3,115,945

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Solution

The third proportional to 1,450,946 and 3,115,945 is: 6,691,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,946 : 3,115,945 = 3,115,945 : x
  2. Step 2: Convert to fraction form
    1,450,946/3,115,945 = 3,115,945/x
  3. Step 3: Cross multiply
    1,450,946x = 3,115,945 × 3,115,945
  4. Step 4: Simplify right side
    1,450,946x = 9,709,113,243,025
  5. Step 5: Solve for x
    x = 9,709,113,243,025/1,450,946
  6. Step 6: Final answer
    x = 6,691,574.49

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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.