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Finding the Third Proportional to 82,476 and 183,840

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Solution

The third proportional to 82,476 and 183,840 is: 409,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,476 : 183,840 = 183,840 : x
  2. Step 2: Convert to fraction form
    82,476/183,840 = 183,840/x
  3. Step 3: Cross multiply
    82,476x = 183,840 × 183,840
  4. Step 4: Simplify right side
    82,476x = 33,797,145,600
  5. Step 5: Solve for x
    x = 33,797,145,600/82,476
  6. Step 6: Final answer
    x = 409,781.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.