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Finding the Third Proportional to 71,570 and 85,826

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Solution

The third proportional to 71,570 and 85,826 is: 102,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 85,826 = 85,826 : x
  2. Step 2: Convert to fraction form
    71,570/85,826 = 85,826/x
  3. Step 3: Cross multiply
    71,570x = 85,826 × 85,826
  4. Step 4: Simplify right side
    71,570x = 7,366,102,276
  5. Step 5: Solve for x
    x = 7,366,102,276/71,570
  6. Step 6: Final answer
    x = 102,921.65

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.