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Finding the Third Proportional to 262,845 and 399,465

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Solution

The third proportional to 262,845 and 399,465 is: 607,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,845 : 399,465 = 399,465 : x
  2. Step 2: Convert to fraction form
    262,845/399,465 = 399,465/x
  3. Step 3: Cross multiply
    262,845x = 399,465 × 399,465
  4. Step 4: Simplify right side
    262,845x = 159,572,286,225
  5. Step 5: Solve for x
    x = 159,572,286,225/262,845
  6. Step 6: Final answer
    x = 607,096.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.