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Finding the Third Proportional to 656,838 and 989,954

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Solution

The third proportional to 656,838 and 989,954 is: 1,492,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,838 : 989,954 = 989,954 : x
  2. Step 2: Convert to fraction form
    656,838/989,954 = 989,954/x
  3. Step 3: Cross multiply
    656,838x = 989,954 × 989,954
  4. Step 4: Simplify right side
    656,838x = 980,008,922,116
  5. Step 5: Solve for x
    x = 980,008,922,116/656,838
  6. Step 6: Final answer
    x = 1,492,010.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.