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Finding the Third Proportional to 118,403.50 and 253,695

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Solution

The third proportional to 118,403.50 and 253,695 is: 543,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,403.50 : 253,695 = 253,695 : x
  2. Step 2: Convert to fraction form
    118,403.50/253,695 = 253,695/x
  3. Step 3: Cross multiply
    118,403.50x = 253,695 × 253,695
  4. Step 4: Simplify right side
    118,403.50x = 64,361,153,025
  5. Step 5: Solve for x
    x = 64,361,153,025/118,403.50
  6. Step 6: Final answer
    x = 543,574.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.