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Finding the Third Proportional to 265,920 and 399,075

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Solution

The third proportional to 265,920 and 399,075 is: 598,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,920 : 399,075 = 399,075 : x
  2. Step 2: Convert to fraction form
    265,920/399,075 = 399,075/x
  3. Step 3: Cross multiply
    265,920x = 399,075 × 399,075
  4. Step 4: Simplify right side
    265,920x = 159,260,855,625
  5. Step 5: Solve for x
    x = 159,260,855,625/265,920
  6. Step 6: Final answer
    x = 598,905.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.