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Finding the Third Proportional to 462,631 and 690,108

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Solution

The third proportional to 462,631 and 690,108 is: 1,029,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,631 : 690,108 = 690,108 : x
  2. Step 2: Convert to fraction form
    462,631/690,108 = 690,108/x
  3. Step 3: Cross multiply
    462,631x = 690,108 × 690,108
  4. Step 4: Simplify right side
    462,631x = 476,249,051,664
  5. Step 5: Solve for x
    x = 476,249,051,664/462,631
  6. Step 6: Final answer
    x = 1,029,436.10

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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.