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Finding the Third Proportional to 635,809 and 891,216

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Solution

The third proportional to 635,809 and 891,216 is: 1,249,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,809 : 891,216 = 891,216 : x
  2. Step 2: Convert to fraction form
    635,809/891,216 = 891,216/x
  3. Step 3: Cross multiply
    635,809x = 891,216 × 891,216
  4. Step 4: Simplify right side
    635,809x = 794,265,958,656
  5. Step 5: Solve for x
    x = 794,265,958,656/635,809
  6. Step 6: Final answer
    x = 1,249,221.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.