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Finding the Third Proportional to 215,710 and 326,581

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Solution

The third proportional to 215,710 and 326,581 is: 494,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,710 : 326,581 = 326,581 : x
  2. Step 2: Convert to fraction form
    215,710/326,581 = 326,581/x
  3. Step 3: Cross multiply
    215,710x = 326,581 × 326,581
  4. Step 4: Simplify right side
    215,710x = 106,655,149,561
  5. Step 5: Solve for x
    x = 106,655,149,561/215,710
  6. Step 6: Final answer
    x = 494,437.67

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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.