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Finding the Third Proportional to 438,106 and 659,104

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Solution

The third proportional to 438,106 and 659,104 is: 991,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,106 : 659,104 = 659,104 : x
  2. Step 2: Convert to fraction form
    438,106/659,104 = 659,104/x
  3. Step 3: Cross multiply
    438,106x = 659,104 × 659,104
  4. Step 4: Simplify right side
    438,106x = 434,418,082,816
  5. Step 5: Solve for x
    x = 434,418,082,816/438,106
  6. Step 6: Final answer
    x = 991,582.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.