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Finding the Third Proportional to 361,155 and 483,165

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Solution

The third proportional to 361,155 and 483,165 is: 646,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,155 : 483,165 = 483,165 : x
  2. Step 2: Convert to fraction form
    361,155/483,165 = 483,165/x
  3. Step 3: Cross multiply
    361,155x = 483,165 × 483,165
  4. Step 4: Simplify right side
    361,155x = 233,448,417,225
  5. Step 5: Solve for x
    x = 233,448,417,225/361,155
  6. Step 6: Final answer
    x = 646,393.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.