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Finding the Third Proportional to 64,890 and 140,796

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Solution

The third proportional to 64,890 and 140,796 is: 305,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,890 : 140,796 = 140,796 : x
  2. Step 2: Convert to fraction form
    64,890/140,796 = 140,796/x
  3. Step 3: Cross multiply
    64,890x = 140,796 × 140,796
  4. Step 4: Simplify right side
    64,890x = 19,823,513,616
  5. Step 5: Solve for x
    x = 19,823,513,616/64,890
  6. Step 6: Final answer
    x = 305,494.12

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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.