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Finding the Third Proportional to 140,507 and 214,281

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Solution

The third proportional to 140,507 and 214,281 is: 326,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,507 : 214,281 = 214,281 : x
  2. Step 2: Convert to fraction form
    140,507/214,281 = 214,281/x
  3. Step 3: Cross multiply
    140,507x = 214,281 × 214,281
  4. Step 4: Simplify right side
    140,507x = 45,916,346,961
  5. Step 5: Solve for x
    x = 45,916,346,961/140,507
  6. Step 6: Final answer
    x = 326,790.46

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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.