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Finding the Third Proportional to 71,130 and 103,765.50

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Solution

The third proportional to 71,130 and 103,765.50 is: 151,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130 : 103,765.50 = 103,765.50 : x
  2. Step 2: Convert to fraction form
    71,130/103,765.50 = 103,765.50/x
  3. Step 3: Cross multiply
    71,130x = 103,765.50 × 103,765.50
  4. Step 4: Simplify right side
    71,130x = 10,767,278,990.25
  5. Step 5: Solve for x
    x = 10,767,278,990.25/71,130
  6. Step 6: Final answer
    x = 151,374.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.