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Finding the Third Proportional to 450,129 and 696,759

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Solution

The third proportional to 450,129 and 696,759 is: 1,078,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,129 : 696,759 = 696,759 : x
  2. Step 2: Convert to fraction form
    450,129/696,759 = 696,759/x
  3. Step 3: Cross multiply
    450,129x = 696,759 × 696,759
  4. Step 4: Simplify right side
    450,129x = 485,473,104,081
  5. Step 5: Solve for x
    x = 485,473,104,081/450,129
  6. Step 6: Final answer
    x = 1,078,519.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.