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Finding the Third Proportional to 392,890.50 and 581,969.25

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Solution

The third proportional to 392,890.50 and 581,969.25 is: 862,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,890.50 : 581,969.25 = 581,969.25 : x
  2. Step 2: Convert to fraction form
    392,890.50/581,969.25 = 581,969.25/x
  3. Step 3: Cross multiply
    392,890.50x = 581,969.25 × 581,969.25
  4. Step 4: Simplify right side
    392,890.50x = 338,688,207,945.56
  5. Step 5: Solve for x
    x = 338,688,207,945.56/392,890.50
  6. Step 6: Final answer
    x = 862,042.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.