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Finding the Third Proportional to 135,824 and 296,890

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Solution

The third proportional to 135,824 and 296,890 is: 648,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,824 : 296,890 = 296,890 : x
  2. Step 2: Convert to fraction form
    135,824/296,890 = 296,890/x
  3. Step 3: Cross multiply
    135,824x = 296,890 × 296,890
  4. Step 4: Simplify right side
    135,824x = 88,143,672,100
  5. Step 5: Solve for x
    x = 88,143,672,100/135,824
  6. Step 6: Final answer
    x = 648,955.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.