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Finding the Third Proportional to 318,945 and 513,898.50

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Solution

The third proportional to 318,945 and 513,898.50 is: 828,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,945 : 513,898.50 = 513,898.50 : x
  2. Step 2: Convert to fraction form
    318,945/513,898.50 = 513,898.50/x
  3. Step 3: Cross multiply
    318,945x = 513,898.50 × 513,898.50
  4. Step 4: Simplify right side
    318,945x = 264,091,668,302.25
  5. Step 5: Solve for x
    x = 264,091,668,302.25/318,945
  6. Step 6: Final answer
    x = 828,016.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.