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Finding the Third Proportional to 72,289 and 156,645

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Solution

The third proportional to 72,289 and 156,645 is: 339,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,289 : 156,645 = 156,645 : x
  2. Step 2: Convert to fraction form
    72,289/156,645 = 156,645/x
  3. Step 3: Cross multiply
    72,289x = 156,645 × 156,645
  4. Step 4: Simplify right side
    72,289x = 24,537,656,025
  5. Step 5: Solve for x
    x = 24,537,656,025/72,289
  6. Step 6: Final answer
    x = 339,438.31

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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.