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Finding the Third Proportional to 35,679 and 77,713.50

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Solution

The third proportional to 35,679 and 77,713.50 is: 169,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,679 : 77,713.50 = 77,713.50 : x
  2. Step 2: Convert to fraction form
    35,679/77,713.50 = 77,713.50/x
  3. Step 3: Cross multiply
    35,679x = 77,713.50 × 77,713.50
  4. Step 4: Simplify right side
    35,679x = 6,039,388,082.25
  5. Step 5: Solve for x
    x = 6,039,388,082.25/35,679
  6. Step 6: Final answer
    x = 169,270.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.