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Finding the Third Proportional to 276,871.50 and 433,762.50

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Solution

The third proportional to 276,871.50 and 433,762.50 is: 679,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,871.50 : 433,762.50 = 433,762.50 : x
  2. Step 2: Convert to fraction form
    276,871.50/433,762.50 = 433,762.50/x
  3. Step 3: Cross multiply
    276,871.50x = 433,762.50 × 433,762.50
  4. Step 4: Simplify right side
    276,871.50x = 188,149,906,406.25
  5. Step 5: Solve for x
    x = 188,149,906,406.25/276,871.50
  6. Step 6: Final answer
    x = 679,556.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.