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Finding the Third Proportional to 65,506 and 138,812

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Solution

The third proportional to 65,506 and 138,812 is: 294,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506 : 138,812 = 138,812 : x
  2. Step 2: Convert to fraction form
    65,506/138,812 = 138,812/x
  3. Step 3: Cross multiply
    65,506x = 138,812 × 138,812
  4. Step 4: Simplify right side
    65,506x = 19,268,771,344
  5. Step 5: Solve for x
    x = 19,268,771,344/65,506
  6. Step 6: Final answer
    x = 294,152.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.