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Finding the Third Proportional to 462,633 and 690,111

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Solution

The third proportional to 462,633 and 690,111 is: 1,029,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,633 : 690,111 = 690,111 : x
  2. Step 2: Convert to fraction form
    462,633/690,111 = 690,111/x
  3. Step 3: Cross multiply
    462,633x = 690,111 × 690,111
  4. Step 4: Simplify right side
    462,633x = 476,253,192,321
  5. Step 5: Solve for x
    x = 476,253,192,321/462,633
  6. Step 6: Final answer
    x = 1,029,440.60

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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.