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Finding the Third Proportional to 318,897 and 500,296.50

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Solution

The third proportional to 318,897 and 500,296.50 is: 784,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,897 : 500,296.50 = 500,296.50 : x
  2. Step 2: Convert to fraction form
    318,897/500,296.50 = 500,296.50/x
  3. Step 3: Cross multiply
    318,897x = 500,296.50 × 500,296.50
  4. Step 4: Simplify right side
    318,897x = 250,296,587,912.25
  5. Step 5: Solve for x
    x = 250,296,587,912.25/318,897
  6. Step 6: Final answer
    x = 784,882.23

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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.