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Finding the Third Proportional to 523,887.75 and 768,579.89

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Solution

The third proportional to 523,887.75 and 768,579.89 is: 1,127,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,887.75 : 768,579.89 = 768,579.89 : x
  2. Step 2: Convert to fraction form
    523,887.75/768,579.89 = 768,579.89/x
  3. Step 3: Cross multiply
    523,887.75x = 768,579.89 × 768,579.89
  4. Step 4: Simplify right side
    523,887.75x = 590,715,048,273.14
  5. Step 5: Solve for x
    x = 590,715,048,273.14/523,887.75
  6. Step 6: Final answer
    x = 1,127,560.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.