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Finding the Third Proportional to 38,570 and 78,213

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Solution

The third proportional to 38,570 and 78,213 is: 158,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570 : 78,213 = 78,213 : x
  2. Step 2: Convert to fraction form
    38,570/78,213 = 78,213/x
  3. Step 3: Cross multiply
    38,570x = 78,213 × 78,213
  4. Step 4: Simplify right side
    38,570x = 6,117,273,369
  5. Step 5: Solve for x
    x = 6,117,273,369/38,570
  6. Step 6: Final answer
    x = 158,601.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.