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Finding the Third Proportional to 120,911.50 and 251,633

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Solution

The third proportional to 120,911.50 and 251,633 is: 523,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,911.50 : 251,633 = 251,633 : x
  2. Step 2: Convert to fraction form
    120,911.50/251,633 = 251,633/x
  3. Step 3: Cross multiply
    120,911.50x = 251,633 × 251,633
  4. Step 4: Simplify right side
    120,911.50x = 63,319,166,689
  5. Step 5: Solve for x
    x = 63,319,166,689/120,911.50
  6. Step 6: Final answer
    x = 523,681.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.