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Finding the Third Proportional to 129,216 and 188,712

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Solution

The third proportional to 129,216 and 188,712 is: 275,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,216 : 188,712 = 188,712 : x
  2. Step 2: Convert to fraction form
    129,216/188,712 = 188,712/x
  3. Step 3: Cross multiply
    129,216x = 188,712 × 188,712
  4. Step 4: Simplify right side
    129,216x = 35,612,218,944
  5. Step 5: Solve for x
    x = 35,612,218,944/129,216
  6. Step 6: Final answer
    x = 275,602.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.