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Finding the Third Proportional to 406,278 and 880,356

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Solution

The third proportional to 406,278 and 880,356 is: 1,907,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,278 : 880,356 = 880,356 : x
  2. Step 2: Convert to fraction form
    406,278/880,356 = 880,356/x
  3. Step 3: Cross multiply
    406,278x = 880,356 × 880,356
  4. Step 4: Simplify right side
    406,278x = 775,026,686,736
  5. Step 5: Solve for x
    x = 775,026,686,736/406,278
  6. Step 6: Final answer
    x = 1,907,626.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.