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Finding the Third Proportional to 186,912 and 286,200

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Solution

The third proportional to 186,912 and 286,200 is: 438,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912 : 286,200 = 286,200 : x
  2. Step 2: Convert to fraction form
    186,912/286,200 = 286,200/x
  3. Step 3: Cross multiply
    186,912x = 286,200 × 286,200
  4. Step 4: Simplify right side
    186,912x = 81,910,440,000
  5. Step 5: Solve for x
    x = 81,910,440,000/186,912
  6. Step 6: Final answer
    x = 438,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.