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Finding the Third Proportional to 83,476 and 180,056

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Solution

The third proportional to 83,476 and 180,056 is: 388,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,476 : 180,056 = 180,056 : x
  2. Step 2: Convert to fraction form
    83,476/180,056 = 180,056/x
  3. Step 3: Cross multiply
    83,476x = 180,056 × 180,056
  4. Step 4: Simplify right side
    83,476x = 32,420,163,136
  5. Step 5: Solve for x
    x = 32,420,163,136/83,476
  6. Step 6: Final answer
    x = 388,377.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.