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Finding the Third Proportional to 30,802.50 and 73,087

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Solution

The third proportional to 30,802.50 and 73,087 is: 173,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.50 : 73,087 = 73,087 : x
  2. Step 2: Convert to fraction form
    30,802.50/73,087 = 73,087/x
  3. Step 3: Cross multiply
    30,802.50x = 73,087 × 73,087
  4. Step 4: Simplify right side
    30,802.50x = 5,341,709,569
  5. Step 5: Solve for x
    x = 5,341,709,569/30,802.50
  6. Step 6: Final answer
    x = 173,418.05

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.