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Finding the Third Proportional to 90,031.50 and 208,425.66

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Solution

The third proportional to 90,031.50 and 208,425.66 is: 482,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031.50 : 208,425.66 = 208,425.66 : x
  2. Step 2: Convert to fraction form
    90,031.50/208,425.66 = 208,425.66/x
  3. Step 3: Cross multiply
    90,031.50x = 208,425.66 × 208,425.66
  4. Step 4: Simplify right side
    90,031.50x = 43,441,254,183.24
  5. Step 5: Solve for x
    x = 43,441,254,183.24/90,031.50
  6. Step 6: Final answer
    x = 482,511.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.