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Finding the Third Proportional to 657,981 and 991,836

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Solution

The third proportional to 657,981 and 991,836 is: 1,495,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,981 : 991,836 = 991,836 : x
  2. Step 2: Convert to fraction form
    657,981/991,836 = 991,836/x
  3. Step 3: Cross multiply
    657,981x = 991,836 × 991,836
  4. Step 4: Simplify right side
    657,981x = 983,738,650,896
  5. Step 5: Solve for x
    x = 983,738,650,896/657,981
  6. Step 6: Final answer
    x = 1,495,086.71

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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.