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Finding the Third Proportional to 215,559 and 326,320

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Solution

The third proportional to 215,559 and 326,320 is: 493,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,559 : 326,320 = 326,320 : x
  2. Step 2: Convert to fraction form
    215,559/326,320 = 326,320/x
  3. Step 3: Cross multiply
    215,559x = 326,320 × 326,320
  4. Step 4: Simplify right side
    215,559x = 106,484,742,400
  5. Step 5: Solve for x
    x = 106,484,742,400/215,559
  6. Step 6: Final answer
    x = 493,993.49

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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.