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Finding the Third Proportional to 186,788 and 280,222

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Solution

The third proportional to 186,788 and 280,222 is: 420,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,788 : 280,222 = 280,222 : x
  2. Step 2: Convert to fraction form
    186,788/280,222 = 280,222/x
  3. Step 3: Cross multiply
    186,788x = 280,222 × 280,222
  4. Step 4: Simplify right side
    186,788x = 78,524,369,284
  5. Step 5: Solve for x
    x = 78,524,369,284/186,788
  6. Step 6: Final answer
    x = 420,393.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.