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Finding the Third Proportional to 18,431 and 28,346

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Solution

The third proportional to 18,431 and 28,346 is: 43,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,431 : 28,346 = 28,346 : x
  2. Step 2: Convert to fraction form
    18,431/28,346 = 28,346/x
  3. Step 3: Cross multiply
    18,431x = 28,346 × 28,346
  4. Step 4: Simplify right side
    18,431x = 803,495,716
  5. Step 5: Solve for x
    x = 803,495,716/18,431
  6. Step 6: Final answer
    x = 43,594.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.