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Finding the Third Proportional to 53,478 and 83,175

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Solution

The third proportional to 53,478 and 83,175 is: 129,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478 : 83,175 = 83,175 : x
  2. Step 2: Convert to fraction form
    53,478/83,175 = 83,175/x
  3. Step 3: Cross multiply
    53,478x = 83,175 × 83,175
  4. Step 4: Simplify right side
    53,478x = 6,918,080,625
  5. Step 5: Solve for x
    x = 6,918,080,625/53,478
  6. Step 6: Final answer
    x = 129,363.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.