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Finding the Third Proportional to 269,813.50 and 389,804

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Solution

The third proportional to 269,813.50 and 389,804 is: 563,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,813.50 : 389,804 = 389,804 : x
  2. Step 2: Convert to fraction form
    269,813.50/389,804 = 389,804/x
  3. Step 3: Cross multiply
    269,813.50x = 389,804 × 389,804
  4. Step 4: Simplify right side
    269,813.50x = 151,947,158,416
  5. Step 5: Solve for x
    x = 151,947,158,416/269,813.50
  6. Step 6: Final answer
    x = 563,156.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.