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Finding the Third Proportional to 85,512 and 182,640

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Solution

The third proportional to 85,512 and 182,640 is: 390,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,512 : 182,640 = 182,640 : x
  2. Step 2: Convert to fraction form
    85,512/182,640 = 182,640/x
  3. Step 3: Cross multiply
    85,512x = 182,640 × 182,640
  4. Step 4: Simplify right side
    85,512x = 33,357,369,600
  5. Step 5: Solve for x
    x = 33,357,369,600/85,512
  6. Step 6: Final answer
    x = 390,089.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.