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Finding the Third Proportional to 133,798 and 280,730.50

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Solution

The third proportional to 133,798 and 280,730.50 is: 589,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,798 : 280,730.50 = 280,730.50 : x
  2. Step 2: Convert to fraction form
    133,798/280,730.50 = 280,730.50/x
  3. Step 3: Cross multiply
    133,798x = 280,730.50 × 280,730.50
  4. Step 4: Simplify right side
    133,798x = 78,809,613,630.25
  5. Step 5: Solve for x
    x = 78,809,613,630.25/133,798
  6. Step 6: Final answer
    x = 589,019.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.