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Finding the Third Proportional to 156,160 and 368,272

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Solution

The third proportional to 156,160 and 368,272 is: 868,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,160 : 368,272 = 368,272 : x
  2. Step 2: Convert to fraction form
    156,160/368,272 = 368,272/x
  3. Step 3: Cross multiply
    156,160x = 368,272 × 368,272
  4. Step 4: Simplify right side
    156,160x = 135,624,265,984
  5. Step 5: Solve for x
    x = 135,624,265,984/156,160
  6. Step 6: Final answer
    x = 868,495.56

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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.