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Finding the Third Proportional to 635,806 and 891,211

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Solution

The third proportional to 635,806 and 891,211 is: 1,249,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,806 : 891,211 = 891,211 : x
  2. Step 2: Convert to fraction form
    635,806/891,211 = 891,211/x
  3. Step 3: Cross multiply
    635,806x = 891,211 × 891,211
  4. Step 4: Simplify right side
    635,806x = 794,257,046,521
  5. Step 5: Solve for x
    x = 794,257,046,521/635,806
  6. Step 6: Final answer
    x = 1,249,212.88

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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.