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Finding the Third Proportional to 328,699.69 and 513,820.97

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Solution

The third proportional to 328,699.69 and 513,820.97 is: 803,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,699.69 : 513,820.97 = 513,820.97 : x
  2. Step 2: Convert to fraction form
    328,699.69/513,820.97 = 513,820.97/x
  3. Step 3: Cross multiply
    328,699.69x = 513,820.97 × 513,820.97
  4. Step 4: Simplify right side
    328,699.69x = 264,011,987,927.19
  5. Step 5: Solve for x
    x = 264,011,987,927.19/328,699.69
  6. Step 6: Final answer
    x = 803,201.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.