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Finding the Third Proportional to 52,672.50 and 113,773.50

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Solution

The third proportional to 52,672.50 and 113,773.50 is: 245,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,672.50 : 113,773.50 = 113,773.50 : x
  2. Step 2: Convert to fraction form
    52,672.50/113,773.50 = 113,773.50/x
  3. Step 3: Cross multiply
    52,672.50x = 113,773.50 × 113,773.50
  4. Step 4: Simplify right side
    52,672.50x = 12,944,409,302.25
  5. Step 5: Solve for x
    x = 12,944,409,302.25/52,672.50
  6. Step 6: Final answer
    x = 245,752.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.