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Finding the Third Proportional to 355,785.75 and 765,973.13

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Solution

The third proportional to 355,785.75 and 765,973.13 is: 1,649,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,785.75 : 765,973.13 = 765,973.13 : x
  2. Step 2: Convert to fraction form
    355,785.75/765,973.13 = 765,973.13/x
  3. Step 3: Cross multiply
    355,785.75x = 765,973.13 × 765,973.13
  4. Step 4: Simplify right side
    355,785.75x = 586,714,828,222.27
  5. Step 5: Solve for x
    x = 586,714,828,222.27/355,785.75
  6. Step 6: Final answer
    x = 1,649,067.81

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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.