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Finding the Third Proportional to 213,984 and 286,272

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Solution

The third proportional to 213,984 and 286,272 is: 382,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,984 : 286,272 = 286,272 : x
  2. Step 2: Convert to fraction form
    213,984/286,272 = 286,272/x
  3. Step 3: Cross multiply
    213,984x = 286,272 × 286,272
  4. Step 4: Simplify right side
    213,984x = 81,951,657,984
  5. Step 5: Solve for x
    x = 81,951,657,984/213,984
  6. Step 6: Final answer
    x = 382,980.31

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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.