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Finding the Third Proportional to 148,402 and 328,817

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Solution

The third proportional to 148,402 and 328,817 is: 728,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,402 : 328,817 = 328,817 : x
  2. Step 2: Convert to fraction form
    148,402/328,817 = 328,817/x
  3. Step 3: Cross multiply
    148,402x = 328,817 × 328,817
  4. Step 4: Simplify right side
    148,402x = 108,120,619,489
  5. Step 5: Solve for x
    x = 108,120,619,489/148,402
  6. Step 6: Final answer
    x = 728,565.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.