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Finding the Third Proportional to 431,640 and 675,621

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Solution

The third proportional to 431,640 and 675,621 is: 1,057,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640 : 675,621 = 675,621 : x
  2. Step 2: Convert to fraction form
    431,640/675,621 = 675,621/x
  3. Step 3: Cross multiply
    431,640x = 675,621 × 675,621
  4. Step 4: Simplify right side
    431,640x = 456,463,735,641
  5. Step 5: Solve for x
    x = 456,463,735,641/431,640
  6. Step 6: Final answer
    x = 1,057,510.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.