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Finding the Third Proportional to 129,457 and 174,904

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Solution

The third proportional to 129,457 and 174,904 is: 236,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,457 : 174,904 = 174,904 : x
  2. Step 2: Convert to fraction form
    129,457/174,904 = 174,904/x
  3. Step 3: Cross multiply
    129,457x = 174,904 × 174,904
  4. Step 4: Simplify right side
    129,457x = 30,591,409,216
  5. Step 5: Solve for x
    x = 30,591,409,216/129,457
  6. Step 6: Final answer
    x = 236,305.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.