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Finding the Third Proportional to 73,532 and 103,546

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Solution

The third proportional to 73,532 and 103,546 is: 145,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,532 : 103,546 = 103,546 : x
  2. Step 2: Convert to fraction form
    73,532/103,546 = 103,546/x
  3. Step 3: Cross multiply
    73,532x = 103,546 × 103,546
  4. Step 4: Simplify right side
    73,532x = 10,721,774,116
  5. Step 5: Solve for x
    x = 10,721,774,116/73,532
  6. Step 6: Final answer
    x = 145,811.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.