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Finding the Third Proportional to 148,287 and 324,798

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Solution

The third proportional to 148,287 and 324,798 is: 711,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,287 : 324,798 = 324,798 : x
  2. Step 2: Convert to fraction form
    148,287/324,798 = 324,798/x
  3. Step 3: Cross multiply
    148,287x = 324,798 × 324,798
  4. Step 4: Simplify right side
    148,287x = 105,493,740,804
  5. Step 5: Solve for x
    x = 105,493,740,804/148,287
  6. Step 6: Final answer
    x = 711,415.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.