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Finding the Third Proportional to 148,509 and 325,089

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Solution

The third proportional to 148,509 and 325,089 is: 711,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,509 : 325,089 = 325,089 : x
  2. Step 2: Convert to fraction form
    148,509/325,089 = 325,089/x
  3. Step 3: Cross multiply
    148,509x = 325,089 × 325,089
  4. Step 4: Simplify right side
    148,509x = 105,682,857,921
  5. Step 5: Solve for x
    x = 105,682,857,921/148,509
  6. Step 6: Final answer
    x = 711,625.95

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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.