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Finding the Third Proportional to 239,841 and 515,968.50

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Solution

The third proportional to 239,841 and 515,968.50 is: 1,109,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,841 : 515,968.50 = 515,968.50 : x
  2. Step 2: Convert to fraction form
    239,841/515,968.50 = 515,968.50/x
  3. Step 3: Cross multiply
    239,841x = 515,968.50 × 515,968.50
  4. Step 4: Simplify right side
    239,841x = 266,223,492,992.25
  5. Step 5: Solve for x
    x = 266,223,492,992.25/239,841
  6. Step 6: Final answer
    x = 1,109,999.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.