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Finding the Third Proportional to 328,345.50 and 471,781.50

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Solution

The third proportional to 328,345.50 and 471,781.50 is: 677,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,345.50 : 471,781.50 = 471,781.50 : x
  2. Step 2: Convert to fraction form
    328,345.50/471,781.50 = 471,781.50/x
  3. Step 3: Cross multiply
    328,345.50x = 471,781.50 × 471,781.50
  4. Step 4: Simplify right side
    328,345.50x = 222,577,783,742.25
  5. Step 5: Solve for x
    x = 222,577,783,742.25/328,345.50
  6. Step 6: Final answer
    x = 677,876.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.