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Finding the Third Proportional to 73,012.50 and 155,434.50

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Solution

The third proportional to 73,012.50 and 155,434.50 is: 330,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,012.50 : 155,434.50 = 155,434.50 : x
  2. Step 2: Convert to fraction form
    73,012.50/155,434.50 = 155,434.50/x
  3. Step 3: Cross multiply
    73,012.50x = 155,434.50 × 155,434.50
  4. Step 4: Simplify right side
    73,012.50x = 24,159,883,790.25
  5. Step 5: Solve for x
    x = 24,159,883,790.25/73,012.50
  6. Step 6: Final answer
    x = 330,900.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.