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Finding the Third Proportional to 431,698 and 653,568

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Solution

The third proportional to 431,698 and 653,568 is: 989,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,698 : 653,568 = 653,568 : x
  2. Step 2: Convert to fraction form
    431,698/653,568 = 653,568/x
  3. Step 3: Cross multiply
    431,698x = 653,568 × 653,568
  4. Step 4: Simplify right side
    431,698x = 427,151,130,624
  5. Step 5: Solve for x
    x = 427,151,130,624/431,698
  6. Step 6: Final answer
    x = 989,467.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.