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Finding the Third Proportional to 75,600 and 108,216

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Solution

The third proportional to 75,600 and 108,216 is: 154,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,600 : 108,216 = 108,216 : x
  2. Step 2: Convert to fraction form
    75,600/108,216 = 108,216/x
  3. Step 3: Cross multiply
    75,600x = 108,216 × 108,216
  4. Step 4: Simplify right side
    75,600x = 11,710,702,656
  5. Step 5: Solve for x
    x = 11,710,702,656/75,600
  6. Step 6: Final answer
    x = 154,903.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.