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Finding the Third Proportional to 515,064.13 and 757,180.41

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Solution

The third proportional to 515,064.13 and 757,180.41 is: 1,113,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,064.13 : 757,180.41 = 757,180.41 : x
  2. Step 2: Convert to fraction form
    515,064.13/757,180.41 = 757,180.41/x
  3. Step 3: Cross multiply
    515,064.13x = 757,180.41 × 757,180.41
  4. Step 4: Simplify right side
    515,064.13x = 573,322,167,608.92
  5. Step 5: Solve for x
    x = 573,322,167,608.92/515,064.13
  6. Step 6: Final answer
    x = 1,113,108.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.