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Finding the Third Proportional to 71,485.50 and 106,012.50

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Solution

The third proportional to 71,485.50 and 106,012.50 is: 157,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,485.50 : 106,012.50 = 106,012.50 : x
  2. Step 2: Convert to fraction form
    71,485.50/106,012.50 = 106,012.50/x
  3. Step 3: Cross multiply
    71,485.50x = 106,012.50 × 106,012.50
  4. Step 4: Simplify right side
    71,485.50x = 11,238,650,156.25
  5. Step 5: Solve for x
    x = 11,238,650,156.25/71,485.50
  6. Step 6: Final answer
    x = 157,215.80

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.