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Finding the Third Proportional to 140,946 and 193,275

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Solution

The third proportional to 140,946 and 193,275 is: 265,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,946 : 193,275 = 193,275 : x
  2. Step 2: Convert to fraction form
    140,946/193,275 = 193,275/x
  3. Step 3: Cross multiply
    140,946x = 193,275 × 193,275
  4. Step 4: Simplify right side
    140,946x = 37,355,225,625
  5. Step 5: Solve for x
    x = 37,355,225,625/140,946
  6. Step 6: Final answer
    x = 265,032.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.