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Finding the Third Proportional to 156,144 and 368,480

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Solution

The third proportional to 156,144 and 368,480 is: 869,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,144 : 368,480 = 368,480 : x
  2. Step 2: Convert to fraction form
    156,144/368,480 = 368,480/x
  3. Step 3: Cross multiply
    156,144x = 368,480 × 368,480
  4. Step 4: Simplify right side
    156,144x = 135,777,510,400
  5. Step 5: Solve for x
    x = 135,777,510,400/156,144
  6. Step 6: Final answer
    x = 869,565.98

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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.