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Finding the Third Proportional to 73,433 and 116,710.50

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Solution

The third proportional to 73,433 and 116,710.50 is: 185,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,433 : 116,710.50 = 116,710.50 : x
  2. Step 2: Convert to fraction form
    73,433/116,710.50 = 116,710.50/x
  3. Step 3: Cross multiply
    73,433x = 116,710.50 × 116,710.50
  4. Step 4: Simplify right side
    73,433x = 13,621,340,810.25
  5. Step 5: Solve for x
    x = 13,621,340,810.25/73,433
  6. Step 6: Final answer
    x = 185,493.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.