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Finding the Third Proportional to 77,031 and 114,907.50

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Solution

The third proportional to 77,031 and 114,907.50 is: 171,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031 : 114,907.50 = 114,907.50 : x
  2. Step 2: Convert to fraction form
    77,031/114,907.50 = 114,907.50/x
  3. Step 3: Cross multiply
    77,031x = 114,907.50 × 114,907.50
  4. Step 4: Simplify right side
    77,031x = 13,203,733,556.25
  5. Step 5: Solve for x
    x = 13,203,733,556.25/77,031
  6. Step 6: Final answer
    x = 171,408.05

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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.