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Finding the Third Proportional to 406,178 and 891,104

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Solution

The third proportional to 406,178 and 891,104 is: 1,954,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,178 : 891,104 = 891,104 : x
  2. Step 2: Convert to fraction form
    406,178/891,104 = 891,104/x
  3. Step 3: Cross multiply
    406,178x = 891,104 × 891,104
  4. Step 4: Simplify right side
    406,178x = 794,066,338,816
  5. Step 5: Solve for x
    x = 794,066,338,816/406,178
  6. Step 6: Final answer
    x = 1,954,971.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.