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Finding the Third Proportional to 462,628 and 690,104

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Solution

The third proportional to 462,628 and 690,104 is: 1,029,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,628 : 690,104 = 690,104 : x
  2. Step 2: Convert to fraction form
    462,628/690,104 = 690,104/x
  3. Step 3: Cross multiply
    462,628x = 690,104 × 690,104
  4. Step 4: Simplify right side
    462,628x = 476,243,530,816
  5. Step 5: Solve for x
    x = 476,243,530,816/462,628
  6. Step 6: Final answer
    x = 1,029,430.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.