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Finding the Third Proportional to 328,900.50 and 719,310.38

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Solution

The third proportional to 328,900.50 and 719,310.38 is: 1,573,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,900.50 : 719,310.38 = 719,310.38 : x
  2. Step 2: Convert to fraction form
    328,900.50/719,310.38 = 719,310.38/x
  3. Step 3: Cross multiply
    328,900.50x = 719,310.38 × 719,310.38
  4. Step 4: Simplify right side
    328,900.50x = 517,407,415,582.64
  5. Step 5: Solve for x
    x = 517,407,415,582.64/328,900.50
  6. Step 6: Final answer
    x = 1,573,142.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.