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Finding the Third Proportional to 397,297.13 and 510,121.13

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Solution

The third proportional to 397,297.13 and 510,121.13 is: 654,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,297.13 : 510,121.13 = 510,121.13 : x
  2. Step 2: Convert to fraction form
    397,297.13/510,121.13 = 510,121.13/x
  3. Step 3: Cross multiply
    397,297.13x = 510,121.13 × 510,121.13
  4. Step 4: Simplify right side
    397,297.13x = 260,223,562,171.27
  5. Step 5: Solve for x
    x = 260,223,562,171.27/397,297.13
  6. Step 6: Final answer
    x = 654,984.76

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.