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Finding the Third Proportional to 51,890.50 and 78,313

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Solution

The third proportional to 51,890.50 and 78,313 is: 118,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,890.50 : 78,313 = 78,313 : x
  2. Step 2: Convert to fraction form
    51,890.50/78,313 = 78,313/x
  3. Step 3: Cross multiply
    51,890.50x = 78,313 × 78,313
  4. Step 4: Simplify right side
    51,890.50x = 6,132,925,969
  5. Step 5: Solve for x
    x = 6,132,925,969/51,890.50
  6. Step 6: Final answer
    x = 118,189.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.