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Finding the Third Proportional to 45,620 and 70,088

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Solution

The third proportional to 45,620 and 70,088 is: 107,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,620 : 70,088 = 70,088 : x
  2. Step 2: Convert to fraction form
    45,620/70,088 = 70,088/x
  3. Step 3: Cross multiply
    45,620x = 70,088 × 70,088
  4. Step 4: Simplify right side
    45,620x = 4,912,327,744
  5. Step 5: Solve for x
    x = 4,912,327,744/45,620
  6. Step 6: Final answer
    x = 107,679.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.