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Finding the Third Proportional to 362,640 and 509,772

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Solution

The third proportional to 362,640 and 509,772 is: 716,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,640 : 509,772 = 509,772 : x
  2. Step 2: Convert to fraction form
    362,640/509,772 = 509,772/x
  3. Step 3: Cross multiply
    362,640x = 509,772 × 509,772
  4. Step 4: Simplify right side
    362,640x = 259,867,491,984
  5. Step 5: Solve for x
    x = 259,867,491,984/362,640
  6. Step 6: Final answer
    x = 716,599.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.