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Finding the Third Proportional to 14,403 and 31,330.50

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Solution

The third proportional to 14,403 and 31,330.50 is: 68,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403 : 31,330.50 = 31,330.50 : x
  2. Step 2: Convert to fraction form
    14,403/31,330.50 = 31,330.50/x
  3. Step 3: Cross multiply
    14,403x = 31,330.50 × 31,330.50
  4. Step 4: Simplify right side
    14,403x = 981,600,230.25
  5. Step 5: Solve for x
    x = 981,600,230.25/14,403
  6. Step 6: Final answer
    x = 68,152.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.