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Finding the Third Proportional to 188,038 and 402,318

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Solution

The third proportional to 188,038 and 402,318 is: 860,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,038 : 402,318 = 402,318 : x
  2. Step 2: Convert to fraction form
    188,038/402,318 = 402,318/x
  3. Step 3: Cross multiply
    188,038x = 402,318 × 402,318
  4. Step 4: Simplify right side
    188,038x = 161,859,773,124
  5. Step 5: Solve for x
    x = 161,859,773,124/188,038
  6. Step 6: Final answer
    x = 860,782.25

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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.