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Finding the Third Proportional to 180,384 and 389,655

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Solution

The third proportional to 180,384 and 389,655 is: 841,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,384 : 389,655 = 389,655 : x
  2. Step 2: Convert to fraction form
    180,384/389,655 = 389,655/x
  3. Step 3: Cross multiply
    180,384x = 389,655 × 389,655
  4. Step 4: Simplify right side
    180,384x = 151,831,019,025
  5. Step 5: Solve for x
    x = 151,831,019,025/180,384
  6. Step 6: Final answer
    x = 841,710.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.