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Finding the Third Proportional to 521,032.50 and 779,359.50

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Solution

The third proportional to 521,032.50 and 779,359.50 is: 1,165,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,032.50 : 779,359.50 = 779,359.50 : x
  2. Step 2: Convert to fraction form
    521,032.50/779,359.50 = 779,359.50/x
  3. Step 3: Cross multiply
    521,032.50x = 779,359.50 × 779,359.50
  4. Step 4: Simplify right side
    521,032.50x = 607,401,230,240.25
  5. Step 5: Solve for x
    x = 607,401,230,240.25/521,032.50
  6. Step 6: Final answer
    x = 1,165,764.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.