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Finding the Third Proportional to 324,116.50 and 512,813.75

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Solution

The third proportional to 324,116.50 and 512,813.75 is: 811,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,116.50 : 512,813.75 = 512,813.75 : x
  2. Step 2: Convert to fraction form
    324,116.50/512,813.75 = 512,813.75/x
  3. Step 3: Cross multiply
    324,116.50x = 512,813.75 × 512,813.75
  4. Step 4: Simplify right side
    324,116.50x = 262,977,942,189.06
  5. Step 5: Solve for x
    x = 262,977,942,189.06/324,116.50
  6. Step 6: Final answer
    x = 811,368.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.