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Finding the Third Proportional to 657,992 and 891,621

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Solution

The third proportional to 657,992 and 891,621 is: 1,208,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,992 : 891,621 = 891,621 : x
  2. Step 2: Convert to fraction form
    657,992/891,621 = 891,621/x
  3. Step 3: Cross multiply
    657,992x = 891,621 × 891,621
  4. Step 4: Simplify right side
    657,992x = 794,988,007,641
  5. Step 5: Solve for x
    x = 794,988,007,641/657,992
  6. Step 6: Final answer
    x = 1,208,203.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.