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Finding the Third Proportional to 73,613 and 116,751.50

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Solution

The third proportional to 73,613 and 116,751.50 is: 185,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,613 : 116,751.50 = 116,751.50 : x
  2. Step 2: Convert to fraction form
    73,613/116,751.50 = 116,751.50/x
  3. Step 3: Cross multiply
    73,613x = 116,751.50 × 116,751.50
  4. Step 4: Simplify right side
    73,613x = 13,630,912,752.25
  5. Step 5: Solve for x
    x = 13,630,912,752.25/73,613
  6. Step 6: Final answer
    x = 185,169.91

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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.