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Finding the Third Proportional to 635,840 and 891,248

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Solution

The third proportional to 635,840 and 891,248 is: 1,249,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,840 : 891,248 = 891,248 : x
  2. Step 2: Convert to fraction form
    635,840/891,248 = 891,248/x
  3. Step 3: Cross multiply
    635,840x = 891,248 × 891,248
  4. Step 4: Simplify right side
    635,840x = 794,322,997,504
  5. Step 5: Solve for x
    x = 794,322,997,504/635,840
  6. Step 6: Final answer
    x = 1,249,249.81

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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.