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Finding the Third Proportional to 102,570 and 213,292

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Solution

The third proportional to 102,570 and 213,292 is: 443,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,570 : 213,292 = 213,292 : x
  2. Step 2: Convert to fraction form
    102,570/213,292 = 213,292/x
  3. Step 3: Cross multiply
    102,570x = 213,292 × 213,292
  4. Step 4: Simplify right side
    102,570x = 45,493,477,264
  5. Step 5: Solve for x
    x = 45,493,477,264/102,570
  6. Step 6: Final answer
    x = 443,535.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.