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Finding the Third Proportional to 421,845 and 909,987

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Solution

The third proportional to 421,845 and 909,987 is: 1,962,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,845 : 909,987 = 909,987 : x
  2. Step 2: Convert to fraction form
    421,845/909,987 = 909,987/x
  3. Step 3: Cross multiply
    421,845x = 909,987 × 909,987
  4. Step 4: Simplify right side
    421,845x = 828,076,340,169
  5. Step 5: Solve for x
    x = 828,076,340,169/421,845
  6. Step 6: Final answer
    x = 1,962,987.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.