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Finding the Third Proportional to 186,720 and 282,898

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Solution

The third proportional to 186,720 and 282,898 is: 428,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,720 : 282,898 = 282,898 : x
  2. Step 2: Convert to fraction form
    186,720/282,898 = 282,898/x
  3. Step 3: Cross multiply
    186,720x = 282,898 × 282,898
  4. Step 4: Simplify right side
    186,720x = 80,031,278,404
  5. Step 5: Solve for x
    x = 80,031,278,404/186,720
  6. Step 6: Final answer
    x = 428,616.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.