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Finding the Third Proportional to 421,810 and 907,629

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Solution

The third proportional to 421,810 and 907,629 is: 1,952,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,810 : 907,629 = 907,629 : x
  2. Step 2: Convert to fraction form
    421,810/907,629 = 907,629/x
  3. Step 3: Cross multiply
    421,810x = 907,629 × 907,629
  4. Step 4: Simplify right side
    421,810x = 823,790,401,641
  5. Step 5: Solve for x
    x = 823,790,401,641/421,810
  6. Step 6: Final answer
    x = 1,952,989.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.