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Finding the Third Proportional to 85,312.50 and 133,818

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Solution

The third proportional to 85,312.50 and 133,818 is: 209,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,312.50 : 133,818 = 133,818 : x
  2. Step 2: Convert to fraction form
    85,312.50/133,818 = 133,818/x
  3. Step 3: Cross multiply
    85,312.50x = 133,818 × 133,818
  4. Step 4: Simplify right side
    85,312.50x = 17,907,257,124
  5. Step 5: Solve for x
    x = 17,907,257,124/85,312.50
  6. Step 6: Final answer
    x = 209,901.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.