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Finding the Third Proportional to 145,739 and 214,441

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Solution

The third proportional to 145,739 and 214,441 is: 315,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,739 : 214,441 = 214,441 : x
  2. Step 2: Convert to fraction form
    145,739/214,441 = 214,441/x
  3. Step 3: Cross multiply
    145,739x = 214,441 × 214,441
  4. Step 4: Simplify right side
    145,739x = 45,984,942,481
  5. Step 5: Solve for x
    x = 45,984,942,481/145,739
  6. Step 6: Final answer
    x = 315,529.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.