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Finding the Third Proportional to 66,987 and 90,970.50

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Solution

The third proportional to 66,987 and 90,970.50 is: 123,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,987 : 90,970.50 = 90,970.50 : x
  2. Step 2: Convert to fraction form
    66,987/90,970.50 = 90,970.50/x
  3. Step 3: Cross multiply
    66,987x = 90,970.50 × 90,970.50
  4. Step 4: Simplify right side
    66,987x = 8,275,631,870.25
  5. Step 5: Solve for x
    x = 8,275,631,870.25/66,987
  6. Step 6: Final answer
    x = 123,540.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.