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Finding the Third Proportional to 156,112 and 368,397

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Solution

The third proportional to 156,112 and 368,397 is: 869,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,112 : 368,397 = 368,397 : x
  2. Step 2: Convert to fraction form
    156,112/368,397 = 368,397/x
  3. Step 3: Cross multiply
    156,112x = 368,397 × 368,397
  4. Step 4: Simplify right side
    156,112x = 135,716,349,609
  5. Step 5: Solve for x
    x = 135,716,349,609/156,112
  6. Step 6: Final answer
    x = 869,352.45

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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.