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Finding the Third Proportional to 239,857.50 and 521,996.50

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Solution

The third proportional to 239,857.50 and 521,996.50 is: 1,136,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,857.50 : 521,996.50 = 521,996.50 : x
  2. Step 2: Convert to fraction form
    239,857.50/521,996.50 = 521,996.50/x
  3. Step 3: Cross multiply
    239,857.50x = 521,996.50 × 521,996.50
  4. Step 4: Simplify right side
    239,857.50x = 272,480,346,012.25
  5. Step 5: Solve for x
    x = 272,480,346,012.25/239,857.50
  6. Step 6: Final answer
    x = 1,136,009.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.