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Finding the Third Proportional to 401,364 and 877,356

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Solution

The third proportional to 401,364 and 877,356 is: 1,917,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,364 : 877,356 = 877,356 : x
  2. Step 2: Convert to fraction form
    401,364/877,356 = 877,356/x
  3. Step 3: Cross multiply
    401,364x = 877,356 × 877,356
  4. Step 4: Simplify right side
    401,364x = 769,753,550,736
  5. Step 5: Solve for x
    x = 769,753,550,736/401,364
  6. Step 6: Final answer
    x = 1,917,844.03

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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.