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Finding the Third Proportional to 328,959.56 and 411,782.06

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Solution

The third proportional to 328,959.56 and 411,782.06 is: 515,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,959.56 : 411,782.06 = 411,782.06 : x
  2. Step 2: Convert to fraction form
    328,959.56/411,782.06 = 411,782.06/x
  3. Step 3: Cross multiply
    328,959.56x = 411,782.06 × 411,782.06
  4. Step 4: Simplify right side
    328,959.56x = 169,564,466,996.75
  5. Step 5: Solve for x
    x = 169,564,466,996.75/328,959.56
  6. Step 6: Final answer
    x = 515,456.87

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.