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Finding the Third Proportional to 215,258 and 295,491

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Solution

The third proportional to 215,258 and 295,491 is: 405,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,258 : 295,491 = 295,491 : x
  2. Step 2: Convert to fraction form
    215,258/295,491 = 295,491/x
  3. Step 3: Cross multiply
    215,258x = 295,491 × 295,491
  4. Step 4: Simplify right side
    215,258x = 87,314,931,081
  5. Step 5: Solve for x
    x = 87,314,931,081/215,258
  6. Step 6: Final answer
    x = 405,629.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.