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Finding the Third Proportional to 77,763 and 170,304

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Solution

The third proportional to 77,763 and 170,304 is: 372,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,763 : 170,304 = 170,304 : x
  2. Step 2: Convert to fraction form
    77,763/170,304 = 170,304/x
  3. Step 3: Cross multiply
    77,763x = 170,304 × 170,304
  4. Step 4: Simplify right side
    77,763x = 29,003,452,416
  5. Step 5: Solve for x
    x = 29,003,452,416/77,763
  6. Step 6: Final answer
    x = 372,972.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.