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Finding the Third Proportional to 271,434.75 and 399,258

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Solution

The third proportional to 271,434.75 and 399,258 is: 587,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,434.75 : 399,258 = 399,258 : x
  2. Step 2: Convert to fraction form
    271,434.75/399,258 = 399,258/x
  3. Step 3: Cross multiply
    271,434.75x = 399,258 × 399,258
  4. Step 4: Simplify right side
    271,434.75x = 159,406,950,564
  5. Step 5: Solve for x
    x = 159,406,950,564/271,434.75
  6. Step 6: Final answer
    x = 587,275.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.