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Finding the Third Proportional to 72,440 and 156,935

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Solution

The third proportional to 72,440 and 156,935 is: 339,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,440 : 156,935 = 156,935 : x
  2. Step 2: Convert to fraction form
    72,440/156,935 = 156,935/x
  3. Step 3: Cross multiply
    72,440x = 156,935 × 156,935
  4. Step 4: Simplify right side
    72,440x = 24,628,594,225
  5. Step 5: Solve for x
    x = 24,628,594,225/72,440
  6. Step 6: Final answer
    x = 339,986.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.