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Finding the Third Proportional to 328,074 and 513,979.50

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Solution

The third proportional to 328,074 and 513,979.50 is: 805,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,074 : 513,979.50 = 513,979.50 : x
  2. Step 2: Convert to fraction form
    328,074/513,979.50 = 513,979.50/x
  3. Step 3: Cross multiply
    328,074x = 513,979.50 × 513,979.50
  4. Step 4: Simplify right side
    328,074x = 264,174,926,420.25
  5. Step 5: Solve for x
    x = 264,174,926,420.25/328,074
  6. Step 6: Final answer
    x = 805,229.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.