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Finding the Third Proportional to 140,312 and 214,644

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Solution

The third proportional to 140,312 and 214,644 is: 328,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,312 : 214,644 = 214,644 : x
  2. Step 2: Convert to fraction form
    140,312/214,644 = 214,644/x
  3. Step 3: Cross multiply
    140,312x = 214,644 × 214,644
  4. Step 4: Simplify right side
    140,312x = 46,072,046,736
  5. Step 5: Solve for x
    x = 46,072,046,736/140,312
  6. Step 6: Final answer
    x = 328,354.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.