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Finding the Third Proportional to 51,818.50 and 77,407

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Solution

The third proportional to 51,818.50 and 77,407 is: 115,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818.50 : 77,407 = 77,407 : x
  2. Step 2: Convert to fraction form
    51,818.50/77,407 = 77,407/x
  3. Step 3: Cross multiply
    51,818.50x = 77,407 × 77,407
  4. Step 4: Simplify right side
    51,818.50x = 5,991,843,649
  5. Step 5: Solve for x
    x = 5,991,843,649/51,818.50
  6. Step 6: Final answer
    x = 115,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.