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Finding the Third Proportional to 18,487 and 28,417

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Solution

The third proportional to 18,487 and 28,417 is: 43,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,487 : 28,417 = 28,417 : x
  2. Step 2: Convert to fraction form
    18,487/28,417 = 28,417/x
  3. Step 3: Cross multiply
    18,487x = 28,417 × 28,417
  4. Step 4: Simplify right side
    18,487x = 807,525,889
  5. Step 5: Solve for x
    x = 807,525,889/18,487
  6. Step 6: Final answer
    x = 43,680.74

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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.