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Finding the Third Proportional to 515,071.50 and 1,115,946

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Solution

The third proportional to 515,071.50 and 1,115,946 is: 2,417,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,071.50 : 1,115,946 = 1,115,946 : x
  2. Step 2: Convert to fraction form
    515,071.50/1,115,946 = 1,115,946/x
  3. Step 3: Cross multiply
    515,071.50x = 1,115,946 × 1,115,946
  4. Step 4: Simplify right side
    515,071.50x = 1,245,335,474,916
  5. Step 5: Solve for x
    x = 1,245,335,474,916/515,071.50
  6. Step 6: Final answer
    x = 2,417,791.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.