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Finding the Third Proportional to 163,824 and 257,037

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Solution

The third proportional to 163,824 and 257,037 is: 403,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,824 : 257,037 = 257,037 : x
  2. Step 2: Convert to fraction form
    163,824/257,037 = 257,037/x
  3. Step 3: Cross multiply
    163,824x = 257,037 × 257,037
  4. Step 4: Simplify right side
    163,824x = 66,068,019,369
  5. Step 5: Solve for x
    x = 66,068,019,369/163,824
  6. Step 6: Final answer
    x = 403,286.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.