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Finding the Third Proportional to 340,782.75 and 529,179.75

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Solution

The third proportional to 340,782.75 and 529,179.75 is: 821,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,782.75 : 529,179.75 = 529,179.75 : x
  2. Step 2: Convert to fraction form
    340,782.75/529,179.75 = 529,179.75/x
  3. Step 3: Cross multiply
    340,782.75x = 529,179.75 × 529,179.75
  4. Step 4: Simplify right side
    340,782.75x = 280,031,207,810.06
  5. Step 5: Solve for x
    x = 280,031,207,810.06/340,782.75
  6. Step 6: Final answer
    x = 821,729.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.