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Finding the Third Proportional to 242,979 and 359,682.75

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Solution

The third proportional to 242,979 and 359,682.75 is: 532,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,979 : 359,682.75 = 359,682.75 : x
  2. Step 2: Convert to fraction form
    242,979/359,682.75 = 359,682.75/x
  3. Step 3: Cross multiply
    242,979x = 359,682.75 × 359,682.75
  4. Step 4: Simplify right side
    242,979x = 129,371,680,647.56
  5. Step 5: Solve for x
    x = 129,371,680,647.56/242,979
  6. Step 6: Final answer
    x = 532,439.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.