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Finding the Third Proportional to 120,071.25 and 280,495.13

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Solution

The third proportional to 120,071.25 and 280,495.13 is: 655,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,071.25 : 280,495.13 = 280,495.13 : x
  2. Step 2: Convert to fraction form
    120,071.25/280,495.13 = 280,495.13/x
  3. Step 3: Cross multiply
    120,071.25x = 280,495.13 × 280,495.13
  4. Step 4: Simplify right side
    120,071.25x = 78,677,515,148.77
  5. Step 5: Solve for x
    x = 78,677,515,148.77/120,071.25
  6. Step 6: Final answer
    x = 655,256.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.