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Finding the Third Proportional to 276,332.50 and 405,433.50

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Solution

The third proportional to 276,332.50 and 405,433.50 is: 594,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,332.50 : 405,433.50 = 405,433.50 : x
  2. Step 2: Convert to fraction form
    276,332.50/405,433.50 = 405,433.50/x
  3. Step 3: Cross multiply
    276,332.50x = 405,433.50 × 405,433.50
  4. Step 4: Simplify right side
    276,332.50x = 164,376,322,922.25
  5. Step 5: Solve for x
    x = 164,376,322,922.25/276,332.50
  6. Step 6: Final answer
    x = 594,849.77

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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.