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Finding the Third Proportional to 51,848.50 and 80,437

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Solution

The third proportional to 51,848.50 and 80,437 is: 124,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,848.50 : 80,437 = 80,437 : x
  2. Step 2: Convert to fraction form
    51,848.50/80,437 = 80,437/x
  3. Step 3: Cross multiply
    51,848.50x = 80,437 × 80,437
  4. Step 4: Simplify right side
    51,848.50x = 6,470,110,969
  5. Step 5: Solve for x
    x = 6,470,110,969/51,848.50
  6. Step 6: Final answer
    x = 124,788.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.