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Finding the Third Proportional to 72,780.75 and 109,265.63

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Solution

The third proportional to 72,780.75 and 109,265.63 is: 164,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,780.75 : 109,265.63 = 109,265.63 : x
  2. Step 2: Convert to fraction form
    72,780.75/109,265.63 = 109,265.63/x
  3. Step 3: Cross multiply
    72,780.75x = 109,265.63 × 109,265.63
  4. Step 4: Simplify right side
    72,780.75x = 11,938,976,806.64
  5. Step 5: Solve for x
    x = 11,938,976,806.64/72,780.75
  6. Step 6: Final answer
    x = 164,040.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.