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Finding the Third Proportional to 213,343 and 286,270

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Solution

The third proportional to 213,343 and 286,270 is: 384,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,343 : 286,270 = 286,270 : x
  2. Step 2: Convert to fraction form
    213,343/286,270 = 286,270/x
  3. Step 3: Cross multiply
    213,343x = 286,270 × 286,270
  4. Step 4: Simplify right side
    213,343x = 81,950,512,900
  5. Step 5: Solve for x
    x = 81,950,512,900/213,343
  6. Step 6: Final answer
    x = 384,125.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.