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Finding the Third Proportional to 328,147.03 and 506,221.31

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Solution

The third proportional to 328,147.03 and 506,221.31 is: 780,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,147.03 : 506,221.31 = 506,221.31 : x
  2. Step 2: Convert to fraction form
    328,147.03/506,221.31 = 506,221.31/x
  3. Step 3: Cross multiply
    328,147.03x = 506,221.31 × 506,221.31
  4. Step 4: Simplify right side
    328,147.03x = 256,260,017,229.22
  5. Step 5: Solve for x
    x = 256,260,017,229.22/328,147.03
  6. Step 6: Final answer
    x = 780,930.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.