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Finding the Third Proportional to 64,451 and 141,983

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Solution

The third proportional to 64,451 and 141,983 is: 312,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,451 : 141,983 = 141,983 : x
  2. Step 2: Convert to fraction form
    64,451/141,983 = 141,983/x
  3. Step 3: Cross multiply
    64,451x = 141,983 × 141,983
  4. Step 4: Simplify right side
    64,451x = 20,159,172,289
  5. Step 5: Solve for x
    x = 20,159,172,289/64,451
  6. Step 6: Final answer
    x = 312,782.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.