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Finding the Third Proportional to 56,203 and 120,378.50

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Solution

The third proportional to 56,203 and 120,378.50 is: 257,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,203 : 120,378.50 = 120,378.50 : x
  2. Step 2: Convert to fraction form
    56,203/120,378.50 = 120,378.50/x
  3. Step 3: Cross multiply
    56,203x = 120,378.50 × 120,378.50
  4. Step 4: Simplify right side
    56,203x = 14,490,983,262.25
  5. Step 5: Solve for x
    x = 14,490,983,262.25/56,203
  6. Step 6: Final answer
    x = 257,832.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.