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Finding the Third Proportional to 180,359 and 387,852

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Solution

The third proportional to 180,359 and 387,852 is: 834,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,359 : 387,852 = 387,852 : x
  2. Step 2: Convert to fraction form
    180,359/387,852 = 387,852/x
  3. Step 3: Cross multiply
    180,359x = 387,852 × 387,852
  4. Step 4: Simplify right side
    180,359x = 150,429,173,904
  5. Step 5: Solve for x
    x = 150,429,173,904/180,359
  6. Step 6: Final answer
    x = 834,054.16

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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.