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Finding the Third Proportional to 462,648 and 690,121

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Solution

The third proportional to 462,648 and 690,121 is: 1,029,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,648 : 690,121 = 690,121 : x
  2. Step 2: Convert to fraction form
    462,648/690,121 = 690,121/x
  3. Step 3: Cross multiply
    462,648x = 690,121 × 690,121
  4. Step 4: Simplify right side
    462,648x = 476,266,994,641
  5. Step 5: Solve for x
    x = 476,266,994,641/462,648
  6. Step 6: Final answer
    x = 1,029,437.06

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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.