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Finding the Third Proportional to 658,278 and 983,109

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Solution

The third proportional to 658,278 and 983,109 is: 1,468,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,278 : 983,109 = 983,109 : x
  2. Step 2: Convert to fraction form
    658,278/983,109 = 983,109/x
  3. Step 3: Cross multiply
    658,278x = 983,109 × 983,109
  4. Step 4: Simplify right side
    658,278x = 966,503,305,881
  5. Step 5: Solve for x
    x = 966,503,305,881/658,278
  6. Step 6: Final answer
    x = 1,468,229.69

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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.