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Finding the Third Proportional to 90,532 and 118,288.50

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Solution

The third proportional to 90,532 and 118,288.50 is: 154,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,532 : 118,288.50 = 118,288.50 : x
  2. Step 2: Convert to fraction form
    90,532/118,288.50 = 118,288.50/x
  3. Step 3: Cross multiply
    90,532x = 118,288.50 × 118,288.50
  4. Step 4: Simplify right side
    90,532x = 13,992,169,232.25
  5. Step 5: Solve for x
    x = 13,992,169,232.25/90,532
  6. Step 6: Final answer
    x = 154,554.96

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.