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Finding the Third Proportional to 140,767 and 212,365

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Solution

The third proportional to 140,767 and 212,365 is: 320,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,767 : 212,365 = 212,365 : x
  2. Step 2: Convert to fraction form
    140,767/212,365 = 212,365/x
  3. Step 3: Cross multiply
    140,767x = 212,365 × 212,365
  4. Step 4: Simplify right side
    140,767x = 45,098,893,225
  5. Step 5: Solve for x
    x = 45,098,893,225/140,767
  6. Step 6: Final answer
    x = 320,379.73

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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.