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Finding the Third Proportional to 35,778 and 77,707

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Solution

The third proportional to 35,778 and 77,707 is: 168,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,778 : 77,707 = 77,707 : x
  2. Step 2: Convert to fraction form
    35,778/77,707 = 77,707/x
  3. Step 3: Cross multiply
    35,778x = 77,707 × 77,707
  4. Step 4: Simplify right side
    35,778x = 6,038,377,849
  5. Step 5: Solve for x
    x = 6,038,377,849/35,778
  6. Step 6: Final answer
    x = 168,773.49

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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.