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Finding the Third Proportional to 64,965 and 140,292

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Solution

The third proportional to 64,965 and 140,292 is: 302,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,965 : 140,292 = 140,292 : x
  2. Step 2: Convert to fraction form
    64,965/140,292 = 140,292/x
  3. Step 3: Cross multiply
    64,965x = 140,292 × 140,292
  4. Step 4: Simplify right side
    64,965x = 19,681,845,264
  5. Step 5: Solve for x
    x = 19,681,845,264/64,965
  6. Step 6: Final answer
    x = 302,960.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.