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Finding the Third Proportional to 657,891 and 991,697

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Solution

The third proportional to 657,891 and 991,697 is: 1,494,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,891 : 991,697 = 991,697 : x
  2. Step 2: Convert to fraction form
    657,891/991,697 = 991,697/x
  3. Step 3: Cross multiply
    657,891x = 991,697 × 991,697
  4. Step 4: Simplify right side
    657,891x = 983,462,939,809
  5. Step 5: Solve for x
    x = 983,462,939,809/657,891
  6. Step 6: Final answer
    x = 1,494,872.16

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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.