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Finding the Third Proportional to 51,234.75 and 77,888.25

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Solution

The third proportional to 51,234.75 and 77,888.25 is: 118,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234.75 : 77,888.25 = 77,888.25 : x
  2. Step 2: Convert to fraction form
    51,234.75/77,888.25 = 77,888.25/x
  3. Step 3: Cross multiply
    51,234.75x = 77,888.25 × 77,888.25
  4. Step 4: Simplify right side
    51,234.75x = 6,066,579,488.06
  5. Step 5: Solve for x
    x = 6,066,579,488.06/51,234.75
  6. Step 6: Final answer
    x = 118,407.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.