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Finding the Third Proportional to 188,156 and 402,205

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Solution

The third proportional to 188,156 and 402,205 is: 859,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,156 : 402,205 = 402,205 : x
  2. Step 2: Convert to fraction form
    188,156/402,205 = 402,205/x
  3. Step 3: Cross multiply
    188,156x = 402,205 × 402,205
  4. Step 4: Simplify right side
    188,156x = 161,768,862,025
  5. Step 5: Solve for x
    x = 161,768,862,025/188,156
  6. Step 6: Final answer
    x = 859,759.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.