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Finding the Third Proportional to 51,750 and 78,030

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Solution

The third proportional to 51,750 and 78,030 is: 117,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,750 : 78,030 = 78,030 : x
  2. Step 2: Convert to fraction form
    51,750/78,030 = 78,030/x
  3. Step 3: Cross multiply
    51,750x = 78,030 × 78,030
  4. Step 4: Simplify right side
    51,750x = 6,088,680,900
  5. Step 5: Solve for x
    x = 6,088,680,900/51,750
  6. Step 6: Final answer
    x = 117,655.67

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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.