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Finding the Third Proportional to 64,775 and 140,946

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Solution

The third proportional to 64,775 and 140,946 is: 306,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,775 : 140,946 = 140,946 : x
  2. Step 2: Convert to fraction form
    64,775/140,946 = 140,946/x
  3. Step 3: Cross multiply
    64,775x = 140,946 × 140,946
  4. Step 4: Simplify right side
    64,775x = 19,865,774,916
  5. Step 5: Solve for x
    x = 19,865,774,916/64,775
  6. Step 6: Final answer
    x = 306,688.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.