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Finding the Third Proportional to 51,282.50 and 77,608

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Solution

The third proportional to 51,282.50 and 77,608 is: 117,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282.50 : 77,608 = 77,608 : x
  2. Step 2: Convert to fraction form
    51,282.50/77,608 = 77,608/x
  3. Step 3: Cross multiply
    51,282.50x = 77,608 × 77,608
  4. Step 4: Simplify right side
    51,282.50x = 6,023,001,664
  5. Step 5: Solve for x
    x = 6,023,001,664/51,282.50
  6. Step 6: Final answer
    x = 117,447.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.