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Finding the Third Proportional to 186,660 and 288,243

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Solution

The third proportional to 186,660 and 288,243 is: 445,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,660 : 288,243 = 288,243 : x
  2. Step 2: Convert to fraction form
    186,660/288,243 = 288,243/x
  3. Step 3: Cross multiply
    186,660x = 288,243 × 288,243
  4. Step 4: Simplify right side
    186,660x = 83,084,027,049
  5. Step 5: Solve for x
    x = 83,084,027,049/186,660
  6. Step 6: Final answer
    x = 445,108.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.