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Finding the Third Proportional to 635,803 and 891,208

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Solution

The third proportional to 635,803 and 891,208 is: 1,249,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,803 : 891,208 = 891,208 : x
  2. Step 2: Convert to fraction form
    635,803/891,208 = 891,208/x
  3. Step 3: Cross multiply
    635,803x = 891,208 × 891,208
  4. Step 4: Simplify right side
    635,803x = 794,251,699,264
  5. Step 5: Solve for x
    x = 794,251,699,264/635,803
  6. Step 6: Final answer
    x = 1,249,210.37

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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.