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Finding the Third Proportional to 56,478 and 121,703.50

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Solution

The third proportional to 56,478 and 121,703.50 is: 262,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,478 : 121,703.50 = 121,703.50 : x
  2. Step 2: Convert to fraction form
    56,478/121,703.50 = 121,703.50/x
  3. Step 3: Cross multiply
    56,478x = 121,703.50 × 121,703.50
  4. Step 4: Simplify right side
    56,478x = 14,811,741,912.25
  5. Step 5: Solve for x
    x = 14,811,741,912.25/56,478
  6. Step 6: Final answer
    x = 262,256.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.