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Finding the Third Proportional to 156,359 and 368,739

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Solution

The third proportional to 156,359 and 368,739 is: 869,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,359 : 368,739 = 368,739 : x
  2. Step 2: Convert to fraction form
    156,359/368,739 = 368,739/x
  3. Step 3: Cross multiply
    156,359x = 368,739 × 368,739
  4. Step 4: Simplify right side
    156,359x = 135,968,450,121
  5. Step 5: Solve for x
    x = 135,968,450,121/156,359
  6. Step 6: Final answer
    x = 869,591.45

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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.