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Finding the Third Proportional to 669,653 and 1,405,640

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Solution

The third proportional to 669,653 and 1,405,640 is: 2,950,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,653 : 1,405,640 = 1,405,640 : x
  2. Step 2: Convert to fraction form
    669,653/1,405,640 = 1,405,640/x
  3. Step 3: Cross multiply
    669,653x = 1,405,640 × 1,405,640
  4. Step 4: Simplify right side
    669,653x = 1,975,823,809,600
  5. Step 5: Solve for x
    x = 1,975,823,809,600/669,653
  6. Step 6: Final answer
    x = 2,950,518.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.