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Finding the Third Proportional to 76,908 and 170,516

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Solution

The third proportional to 76,908 and 170,516 is: 378,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,908 : 170,516 = 170,516 : x
  2. Step 2: Convert to fraction form
    76,908/170,516 = 170,516/x
  3. Step 3: Cross multiply
    76,908x = 170,516 × 170,516
  4. Step 4: Simplify right side
    76,908x = 29,075,706,256
  5. Step 5: Solve for x
    x = 29,075,706,256/76,908
  6. Step 6: Final answer
    x = 378,058.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.