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Finding the Third Proportional to 140,430 and 212,157

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Solution

The third proportional to 140,430 and 212,157 is: 320,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,430 : 212,157 = 212,157 : x
  2. Step 2: Convert to fraction form
    140,430/212,157 = 212,157/x
  3. Step 3: Cross multiply
    140,430x = 212,157 × 212,157
  4. Step 4: Simplify right side
    140,430x = 45,010,592,649
  5. Step 5: Solve for x
    x = 45,010,592,649/140,430
  6. Step 6: Final answer
    x = 320,519.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.