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Finding the Third Proportional to 421,826 and 907,664

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Solution

The third proportional to 421,826 and 907,664 is: 1,953,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,826 : 907,664 = 907,664 : x
  2. Step 2: Convert to fraction form
    421,826/907,664 = 907,664/x
  3. Step 3: Cross multiply
    421,826x = 907,664 × 907,664
  4. Step 4: Simplify right side
    421,826x = 823,853,936,896
  5. Step 5: Solve for x
    x = 823,853,936,896/421,826
  6. Step 6: Final answer
    x = 1,953,065.81

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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.