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Finding the Third Proportional to 77,462 and 118,419

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Solution

The third proportional to 77,462 and 118,419 is: 181,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,462 : 118,419 = 118,419 : x
  2. Step 2: Convert to fraction form
    77,462/118,419 = 118,419/x
  3. Step 3: Cross multiply
    77,462x = 118,419 × 118,419
  4. Step 4: Simplify right side
    77,462x = 14,023,059,561
  5. Step 5: Solve for x
    x = 14,023,059,561/77,462
  6. Step 6: Final answer
    x = 181,031.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.