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Finding the Third Proportional to 57,038.50 and 117,690.50

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Solution

The third proportional to 57,038.50 and 117,690.50 is: 242,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.50 : 117,690.50 = 117,690.50 : x
  2. Step 2: Convert to fraction form
    57,038.50/117,690.50 = 117,690.50/x
  3. Step 3: Cross multiply
    57,038.50x = 117,690.50 × 117,690.50
  4. Step 4: Simplify right side
    57,038.50x = 13,851,053,790.25
  5. Step 5: Solve for x
    x = 13,851,053,790.25/57,038.50
  6. Step 6: Final answer
    x = 242,836.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.