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Finding the Third Proportional to 148,406 and 319,852

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Solution

The third proportional to 148,406 and 319,852 is: 689,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,406 : 319,852 = 319,852 : x
  2. Step 2: Convert to fraction form
    148,406/319,852 = 319,852/x
  3. Step 3: Cross multiply
    148,406x = 319,852 × 319,852
  4. Step 4: Simplify right side
    148,406x = 102,305,301,904
  5. Step 5: Solve for x
    x = 102,305,301,904/148,406
  6. Step 6: Final answer
    x = 689,360.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.