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Finding the Third Proportional to 45,297.50 and 74,865

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Solution

The third proportional to 45,297.50 and 74,865 is: 123,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,297.50 : 74,865 = 74,865 : x
  2. Step 2: Convert to fraction form
    45,297.50/74,865 = 74,865/x
  3. Step 3: Cross multiply
    45,297.50x = 74,865 × 74,865
  4. Step 4: Simplify right side
    45,297.50x = 5,604,768,225
  5. Step 5: Solve for x
    x = 5,604,768,225/45,297.50
  6. Step 6: Final answer
    x = 123,732.40

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.