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Finding the Third Proportional to 72,670 and 156,806

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Solution

The third proportional to 72,670 and 156,806 is: 338,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,670 : 156,806 = 156,806 : x
  2. Step 2: Convert to fraction form
    72,670/156,806 = 156,806/x
  3. Step 3: Cross multiply
    72,670x = 156,806 × 156,806
  4. Step 4: Simplify right side
    72,670x = 24,588,121,636
  5. Step 5: Solve for x
    x = 24,588,121,636/72,670
  6. Step 6: Final answer
    x = 338,353.13

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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.