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Finding the Third Proportional to 434,451 and 690,987

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Solution

The third proportional to 434,451 and 690,987 is: 1,099,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,451 : 690,987 = 690,987 : x
  2. Step 2: Convert to fraction form
    434,451/690,987 = 690,987/x
  3. Step 3: Cross multiply
    434,451x = 690,987 × 690,987
  4. Step 4: Simplify right side
    434,451x = 477,463,034,169
  5. Step 5: Solve for x
    x = 477,463,034,169/434,451
  6. Step 6: Final answer
    x = 1,099,003.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.