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Finding the Third Proportional to 35,780 and 77,705

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Solution

The third proportional to 35,780 and 77,705 is: 168,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780 : 77,705 = 77,705 : x
  2. Step 2: Convert to fraction form
    35,780/77,705 = 77,705/x
  3. Step 3: Cross multiply
    35,780x = 77,705 × 77,705
  4. Step 4: Simplify right side
    35,780x = 6,038,067,025
  5. Step 5: Solve for x
    x = 6,038,067,025/35,780
  6. Step 6: Final answer
    x = 168,755.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.