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Finding the Third Proportional to 45,603 and 76,605.75

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Solution

The third proportional to 45,603 and 76,605.75 is: 128,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,603 : 76,605.75 = 76,605.75 : x
  2. Step 2: Convert to fraction form
    45,603/76,605.75 = 76,605.75/x
  3. Step 3: Cross multiply
    45,603x = 76,605.75 × 76,605.75
  4. Step 4: Simplify right side
    45,603x = 5,868,440,933.06
  5. Step 5: Solve for x
    x = 5,868,440,933.06/45,603
  6. Step 6: Final answer
    x = 128,685.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.