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Finding the Third Proportional to 421,731 and 909,893.25

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Solution

The third proportional to 421,731 and 909,893.25 is: 1,963,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,731 : 909,893.25 = 909,893.25 : x
  2. Step 2: Convert to fraction form
    421,731/909,893.25 = 909,893.25/x
  3. Step 3: Cross multiply
    421,731x = 909,893.25 × 909,893.25
  4. Step 4: Simplify right side
    421,731x = 827,905,726,395.56
  5. Step 5: Solve for x
    x = 827,905,726,395.56/421,731
  6. Step 6: Final answer
    x = 1,963,113.28

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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.