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Finding the Third Proportional to 690,159 and 1,505,799

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Solution

The third proportional to 690,159 and 1,505,799 is: 3,285,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,159 : 1,505,799 = 1,505,799 : x
  2. Step 2: Convert to fraction form
    690,159/1,505,799 = 1,505,799/x
  3. Step 3: Cross multiply
    690,159x = 1,505,799 × 1,505,799
  4. Step 4: Simplify right side
    690,159x = 2,267,430,628,401
  5. Step 5: Solve for x
    x = 2,267,430,628,401/690,159
  6. Step 6: Final answer
    x = 3,285,374.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.