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Finding the Third Proportional to 65,700 and 136,074

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Solution

The third proportional to 65,700 and 136,074 is: 281,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,700 : 136,074 = 136,074 : x
  2. Step 2: Convert to fraction form
    65,700/136,074 = 136,074/x
  3. Step 3: Cross multiply
    65,700x = 136,074 × 136,074
  4. Step 4: Simplify right side
    65,700x = 18,516,133,476
  5. Step 5: Solve for x
    x = 18,516,133,476/65,700
  6. Step 6: Final answer
    x = 281,828.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.