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Finding the Third Proportional to 120,795.75 and 272,911.50

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Solution

The third proportional to 120,795.75 and 272,911.50 is: 616,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,795.75 : 272,911.50 = 272,911.50 : x
  2. Step 2: Convert to fraction form
    120,795.75/272,911.50 = 272,911.50/x
  3. Step 3: Cross multiply
    120,795.75x = 272,911.50 × 272,911.50
  4. Step 4: Simplify right side
    120,795.75x = 74,480,686,832.25
  5. Step 5: Solve for x
    x = 74,480,686,832.25/120,795.75
  6. Step 6: Final answer
    x = 616,583.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.