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Finding the Third Proportional to 216,648 and 295,164

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Solution

The third proportional to 216,648 and 295,164 is: 402,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,648 : 295,164 = 295,164 : x
  2. Step 2: Convert to fraction form
    216,648/295,164 = 295,164/x
  3. Step 3: Cross multiply
    216,648x = 295,164 × 295,164
  4. Step 4: Simplify right side
    216,648x = 87,121,786,896
  5. Step 5: Solve for x
    x = 87,121,786,896/216,648
  6. Step 6: Final answer
    x = 402,135.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.