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Finding the Third Proportional to 67,135 and 146,254

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Solution

The third proportional to 67,135 and 146,254 is: 318,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,135 : 146,254 = 146,254 : x
  2. Step 2: Convert to fraction form
    67,135/146,254 = 146,254/x
  3. Step 3: Cross multiply
    67,135x = 146,254 × 146,254
  4. Step 4: Simplify right side
    67,135x = 21,390,232,516
  5. Step 5: Solve for x
    x = 21,390,232,516/67,135
  6. Step 6: Final answer
    x = 318,615.22

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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.