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Finding the Third Proportional to 261,824 and 403,028

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Solution

The third proportional to 261,824 and 403,028 is: 620,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,824 : 403,028 = 403,028 : x
  2. Step 2: Convert to fraction form
    261,824/403,028 = 403,028/x
  3. Step 3: Cross multiply
    261,824x = 403,028 × 403,028
  4. Step 4: Simplify right side
    261,824x = 162,431,568,784
  5. Step 5: Solve for x
    x = 162,431,568,784/261,824
  6. Step 6: Final answer
    x = 620,384.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.