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Finding the Third Proportional to 64,440 and 141,961

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Solution

The third proportional to 64,440 and 141,961 is: 312,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,440 : 141,961 = 141,961 : x
  2. Step 2: Convert to fraction form
    64,440/141,961 = 141,961/x
  3. Step 3: Cross multiply
    64,440x = 141,961 × 141,961
  4. Step 4: Simplify right side
    64,440x = 20,152,925,521
  5. Step 5: Solve for x
    x = 20,152,925,521/64,440
  6. Step 6: Final answer
    x = 312,739.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.