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Finding the Third Proportional to 72,667 and 156,803

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Solution

The third proportional to 72,667 and 156,803 is: 338,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,667 : 156,803 = 156,803 : x
  2. Step 2: Convert to fraction form
    72,667/156,803 = 156,803/x
  3. Step 3: Cross multiply
    72,667x = 156,803 × 156,803
  4. Step 4: Simplify right side
    72,667x = 24,587,180,809
  5. Step 5: Solve for x
    x = 24,587,180,809/72,667
  6. Step 6: Final answer
    x = 338,354.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.