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Finding the Third Proportional to 180,780 and 389,506

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Solution

The third proportional to 180,780 and 389,506 is: 839,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,780 : 389,506 = 389,506 : x
  2. Step 2: Convert to fraction form
    180,780/389,506 = 389,506/x
  3. Step 3: Cross multiply
    180,780x = 389,506 × 389,506
  4. Step 4: Simplify right side
    180,780x = 151,714,924,036
  5. Step 5: Solve for x
    x = 151,714,924,036/180,780
  6. Step 6: Final answer
    x = 839,224.05

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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.