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Finding the Third Proportional to 75,476 and 170,418

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Solution

The third proportional to 75,476 and 170,418 is: 384,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,476 : 170,418 = 170,418 : x
  2. Step 2: Convert to fraction form
    75,476/170,418 = 170,418/x
  3. Step 3: Cross multiply
    75,476x = 170,418 × 170,418
  4. Step 4: Simplify right side
    75,476x = 29,042,294,724
  5. Step 5: Solve for x
    x = 29,042,294,724/75,476
  6. Step 6: Final answer
    x = 384,788.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.