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Finding the Third Proportional to 161,580 and 331,224

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Solution

The third proportional to 161,580 and 331,224 is: 678,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,580 : 331,224 = 331,224 : x
  2. Step 2: Convert to fraction form
    161,580/331,224 = 331,224/x
  3. Step 3: Cross multiply
    161,580x = 331,224 × 331,224
  4. Step 4: Simplify right side
    161,580x = 109,709,338,176
  5. Step 5: Solve for x
    x = 109,709,338,176/161,580
  6. Step 6: Final answer
    x = 678,978.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.