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Finding the Third Proportional to 147,817.50 and 306,135

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Solution

The third proportional to 147,817.50 and 306,135 is: 634,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,817.50 : 306,135 = 306,135 : x
  2. Step 2: Convert to fraction form
    147,817.50/306,135 = 306,135/x
  3. Step 3: Cross multiply
    147,817.50x = 306,135 × 306,135
  4. Step 4: Simplify right side
    147,817.50x = 93,718,638,225
  5. Step 5: Solve for x
    x = 93,718,638,225/147,817.50
  6. Step 6: Final answer
    x = 634,015.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.