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Finding the Third Proportional to 156,120 and 368,419

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Solution

The third proportional to 156,120 and 368,419 is: 869,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,120 : 368,419 = 368,419 : x
  2. Step 2: Convert to fraction form
    156,120/368,419 = 368,419/x
  3. Step 3: Cross multiply
    156,120x = 368,419 × 368,419
  4. Step 4: Simplify right side
    156,120x = 135,732,559,561
  5. Step 5: Solve for x
    x = 135,732,559,561/156,120
  6. Step 6: Final answer
    x = 869,411.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.